Identifier
Identifier
Values
=>
0=>2 1=>3 00=>4 01=>5 10=>6 11=>7 000=>8 001=>9 010=>10 011=>11 100=>12 101=>13 110=>14 111=>15 0000=>16 0001=>17 0010=>18 0011=>19 0100=>20 0101=>21 0110=>22 0111=>23 1000=>24 1001=>25 1010=>26 1011=>27 1100=>28 1101=>29 1110=>30 1111=>31 00000=>32 00001=>33 00010=>34 00011=>35 00100=>36 00101=>37 00110=>38 00111=>39 01000=>40 01001=>41 01010=>42 01011=>43 01100=>44 01101=>45 01110=>46 01111=>47 10000=>48 10001=>49 10010=>50 10011=>51 10100=>52 10101=>53 10110=>54 10111=>55 11000=>56 11001=>57 11010=>58 11011=>59 11100=>60 11101=>61 11110=>62 11111=>63 000000=>64 000001=>65 000010=>66 000011=>67 000100=>68 000101=>69 000110=>70 000111=>71 001000=>72 001001=>73 001010=>74 001011=>75 001100=>76 001101=>77 001110=>78 001111=>79 010000=>80 010001=>81 010010=>82 010011=>83 010100=>84 010101=>85 010110=>86 010111=>87 011000=>88 011001=>89 011010=>90 011011=>91 011100=>92 011101=>93 011110=>94 011111=>95 100000=>96 100001=>97 100010=>98 100011=>99 100100=>100 100101=>101 100110=>102 100111=>103 101000=>104 101001=>105 101010=>106 101011=>107 101100=>108 101101=>109 101110=>110 101111=>111 110000=>112 110001=>113 110010=>114 110011=>115 110100=>116 110101=>117 110110=>118 110111=>119 111000=>120 111001=>121 111010=>122 111011=>123 111100=>124 111101=>125 111110=>126 111111=>127 0000000=>128 0000001=>129 0000010=>130 0000011=>131 0000100=>132 0000101=>133 0000110=>134 0000111=>135 0001000=>136 0001001=>137 0001010=>138 0001011=>139 0001100=>140 0001101=>141 0001110=>142 0001111=>143 0010000=>144 0010001=>145 0010010=>146 0010011=>147 0010100=>148 0010101=>149 0010110=>150 0010111=>151 0011000=>152 0011001=>153 0011010=>154 0011011=>155 0011100=>156 0011101=>157 0011110=>158 0011111=>159 0100000=>160 0100001=>161 0100010=>162 0100011=>163 0100100=>164 0100101=>165 0100110=>166 0100111=>167 0101000=>168 0101001=>169 0101010=>170 0101011=>171 0101100=>172 0101101=>173 0101110=>174 0101111=>175 0110000=>176 0110001=>177 0110010=>178 0110011=>179 0110100=>180 0110101=>181 0110110=>182 0110111=>183 0111000=>184 0111001=>185 0111010=>186 0111011=>187 0111100=>188 0111101=>189 0111110=>190 0111111=>191 1000000=>192 1000001=>193 1000010=>194 1000011=>195 1000100=>196 1000101=>197 1000110=>198 1000111=>199 1001000=>200 1001001=>201 1001010=>202 1001011=>203 1001100=>204 1001101=>205 1001110=>206 1001111=>207 1010000=>208 1010001=>209 1010010=>210 1010011=>211 1010100=>212 1010101=>213 1010110=>214 1010111=>215 1011000=>216 1011001=>217 1011010=>218 1011011=>219 1011100=>220 1011101=>221 1011110=>222 1011111=>223 1100000=>224 1100001=>225 1100010=>226 1100011=>227 1100100=>228 1100101=>229 1100110=>230 1100111=>231 1101000=>232 1101001=>233 1101010=>234 1101011=>235 1101100=>236 1101101=>237 1101110=>238 1101111=>239 1110000=>240 1110001=>241 1110010=>242 1110011=>243 1110100=>244 1110101=>245 1110110=>246 1110111=>247 1111000=>248 1111001=>249 1111010=>250 1111011=>251 1111100=>252 1111101=>253 1111110=>254 1111111=>255 00000000=>256 00000001=>257 00000010=>258 00000011=>259 00000100=>260 00000101=>261 00000110=>262 00000111=>263 00001000=>264 00001001=>265 00001010=>266 00001011=>267 00001100=>268 00001101=>269 00001110=>270 00001111=>271 00010000=>272 00010001=>273 00010010=>274 00010011=>275 00010100=>276 00010101=>277 00010110=>278 00010111=>279 00011000=>280 00011001=>281 00011010=>282 00011011=>283 00011100=>284 00011101=>285 00011110=>286 00011111=>287 00100000=>288 00100001=>289 00100010=>290 00100011=>291 00100100=>292 00100101=>293 00100110=>294 00100111=>295 00101000=>296 00101001=>297 00101010=>298 00101011=>299 00101100=>300 00101101=>301 00101110=>302 00101111=>303 00110000=>304 00110001=>305 00110010=>306 00110011=>307 00110100=>308 00110101=>309 00110110=>310 00110111=>311 00111000=>312 00111001=>313 00111010=>314 00111011=>315 00111100=>316 00111101=>317 00111110=>318 00111111=>319 01000000=>320 01000001=>321 01000010=>322 01000011=>323 01000100=>324 01000101=>325 01000110=>326 01000111=>327 01001000=>328 01001001=>329 01001010=>330 01001011=>331 01001100=>332 01001101=>333 01001110=>334 01001111=>335 01010000=>336 01010001=>337 01010010=>338 01010011=>339 01010100=>340 01010101=>341 01010110=>342 01010111=>343 01011000=>344 01011001=>345 01011010=>346 01011011=>347 01011100=>348 01011101=>349 01011110=>350 01011111=>351 01100000=>352 01100001=>353 01100010=>354 01100011=>355 01100100=>356 01100101=>357 01100110=>358 01100111=>359 01101000=>360 01101001=>361 01101010=>362 01101011=>363 01101100=>364 01101101=>365 01101110=>366 01101111=>367 01110000=>368 01110001=>369 01110010=>370 01110011=>371 01110100=>372 01110101=>373 01110110=>374 01110111=>375 01111000=>376 01111001=>377 01111010=>378 01111011=>379 01111100=>380 01111101=>381 01111110=>382 01111111=>383 10000000=>384 10000001=>385 10000010=>386 10000011=>387 10000100=>388 10000101=>389 10000110=>390 10000111=>391 10001000=>392 10001001=>393 10001010=>394 10001011=>395 10001100=>396 10001101=>397 10001110=>398 10001111=>399 10010000=>400 10010001=>401 10010010=>402 10010011=>403 10010100=>404 10010101=>405 10010110=>406 10010111=>407 10011000=>408 10011001=>409 10011010=>410 10011011=>411 10011100=>412 10011101=>413 10011110=>414 10011111=>415 10100000=>416 10100001=>417 10100010=>418 10100011=>419 10100100=>420 10100101=>421 10100110=>422 10100111=>423 10101000=>424 10101001=>425 10101010=>426 10101011=>427 10101100=>428 10101101=>429 10101110=>430 10101111=>431 10110000=>432 10110001=>433 10110010=>434 10110011=>435 10110100=>436 10110101=>437 10110110=>438 10110111=>439 10111000=>440 10111001=>441 10111010=>442 10111011=>443 10111100=>444 10111101=>445 10111110=>446 10111111=>447 11000000=>448 11000001=>449 11000010=>450 11000011=>451 11000100=>452 11000101=>453 11000110=>454 11000111=>455 11001000=>456 11001001=>457 11001010=>458 11001011=>459 11001100=>460 11001101=>461 11001110=>462 11001111=>463 11010000=>464 11010001=>465 11010010=>466 11010011=>467 11010100=>468 11010101=>469 11010110=>470 11010111=>471 11011000=>472 11011001=>473 11011010=>474 11011011=>475 11011100=>476 11011101=>477 11011110=>478 11011111=>479 11100000=>480 11100001=>481 11100010=>482 11100011=>483 11100100=>484 11100101=>485 11100110=>486 11100111=>487 11101000=>488 11101001=>489 11101010=>490 11101011=>491 11101100=>492 11101101=>493 11101110=>494 11101111=>495 11110000=>496 11110001=>497 11110010=>498 11110011=>499 11110100=>500 11110101=>501 11110110=>502 11110111=>503 11111000=>504 11111001=>505 11111010=>506 11111011=>507 11111100=>508 11111101=>509 11111110=>510 11111111=>511 000000000=>512 000000001=>513 000000010=>514 000000011=>515 000000100=>516 000000101=>517 000000110=>518 000000111=>519 000001000=>520 000001001=>521 000001010=>522 000001011=>523 000001100=>524 000001101=>525 000001110=>526 000001111=>527 000010000=>528 000010001=>529 000010010=>530 000010011=>531 000010100=>532 000010101=>533 000010110=>534 000010111=>535 000011000=>536 000011001=>537 000011010=>538 000011011=>539 000011100=>540 000011101=>541 000011110=>542 000011111=>543 000100000=>544 000100001=>545 000100010=>546 000100011=>547 000100100=>548 000100101=>549 000100110=>550 000100111=>551 000101000=>552 000101001=>553 000101010=>554 000101011=>555 000101100=>556 000101101=>557 000101110=>558 000101111=>559 000110000=>560 000110001=>561 000110010=>562 000110011=>563 000110100=>564 000110101=>565 000110110=>566 000110111=>567 000111000=>568 000111001=>569 000111010=>570 000111011=>571 000111100=>572 000111101=>573 000111110=>574 000111111=>575 001000000=>576 001000001=>577 001000010=>578 001000011=>579 001000100=>580 001000101=>581 001000110=>582 001000111=>583 001001000=>584 001001001=>585 001001010=>586 001001011=>587 001001100=>588 001001101=>589 001001110=>590 001001111=>591 001010000=>592 001010001=>593 001010010=>594 001010011=>595 001010100=>596 001010101=>597 001010110=>598 001010111=>599 001011000=>600 001011001=>601 001011010=>602 001011011=>603 001011100=>604 001011101=>605 001011110=>606 001011111=>607 001100000=>608 001100001=>609 001100010=>610 001100011=>611 001100100=>612 001100101=>613 001100110=>614 001100111=>615 001101000=>616 001101001=>617 001101010=>618 001101011=>619 001101100=>620 001101101=>621 001101110=>622 001101111=>623 001110000=>624 001110001=>625 001110010=>626 001110011=>627 001110100=>628 001110101=>629 001110110=>630 001110111=>631 001111000=>632 001111001=>633 001111010=>634 001111011=>635 001111100=>636 001111101=>637 001111110=>638 001111111=>639 010000000=>640 010000001=>641 010000010=>642 010000011=>643 010000100=>644 010000101=>645 010000110=>646 010000111=>647 010001000=>648 010001001=>649 010001010=>650 010001011=>651 010001100=>652 010001101=>653 010001110=>654 010001111=>655 010010000=>656 010010001=>657 010010010=>658 010010011=>659 010010100=>660 010010101=>661 010010110=>662 010010111=>663 010011000=>664 010011001=>665 010011010=>666 010011011=>667 010011100=>668 010011101=>669 010011110=>670 010011111=>671 010100000=>672 010100001=>673 010100010=>674 010100011=>675 010100100=>676 010100101=>677 010100110=>678 010100111=>679 010101000=>680 010101001=>681 010101010=>682 010101011=>683 010101100=>684 010101101=>685 010101110=>686 010101111=>687 010110000=>688 010110001=>689 010110010=>690 010110011=>691 010110100=>692 010110101=>693 010110110=>694 010110111=>695 010111000=>696 010111001=>697 010111010=>698 010111011=>699 010111100=>700 010111101=>701 010111110=>702 010111111=>703 011000000=>704 011000001=>705 011000010=>706 011000011=>707 011000100=>708 011000101=>709 011000110=>710 011000111=>711 011001000=>712 011001001=>713 011001010=>714 011001011=>715 011001100=>716 011001101=>717 011001110=>718 011001111=>719 011010000=>720 011010001=>721 011010010=>722 011010011=>723 011010100=>724 011010101=>725 011010110=>726 011010111=>727 011011000=>728 011011001=>729 011011010=>730 011011011=>731 011011100=>732 011011101=>733 011011110=>734 011011111=>735 011100000=>736 011100001=>737 011100010=>738 011100011=>739 011100100=>740 011100101=>741 011100110=>742 011100111=>743 011101000=>744 011101001=>745 011101010=>746 011101011=>747 011101100=>748 011101101=>749 011101110=>750 011101111=>751 011110000=>752 011110001=>753 011110010=>754 011110011=>755 011110100=>756 011110101=>757 011110110=>758 011110111=>759 011111000=>760 011111001=>761 011111010=>762 011111011=>763 011111100=>764 011111101=>765 011111110=>766 011111111=>767 100000000=>768 100000001=>769 100000010=>770 100000011=>771 100000100=>772 100000101=>773 100000110=>774 100000111=>775 100001000=>776 100001001=>777 100001010=>778 100001011=>779 100001100=>780 100001101=>781 100001110=>782 100001111=>783 100010000=>784 100010001=>785 100010010=>786 100010011=>787 100010100=>788 100010101=>789 100010110=>790 100010111=>791 100011000=>792 100011001=>793 100011010=>794 100011011=>795 100011100=>796 100011101=>797 100011110=>798 100011111=>799 100100000=>800 100100001=>801 100100010=>802 100100011=>803 100100100=>804 100100101=>805 100100110=>806 100100111=>807 100101000=>808 100101001=>809 100101010=>810 100101011=>811 100101100=>812 100101101=>813 100101110=>814 100101111=>815 100110000=>816 100110001=>817 100110010=>818 100110011=>819 100110100=>820 100110101=>821 100110110=>822 100110111=>823 100111000=>824 100111001=>825 100111010=>826 100111011=>827 100111100=>828 100111101=>829 100111110=>830 100111111=>831 101000000=>832 101000001=>833 101000010=>834 101000011=>835 101000100=>836 101000101=>837 101000110=>838 101000111=>839 101001000=>840 101001001=>841 101001010=>842 101001011=>843 101001100=>844 101001101=>845 101001110=>846 101001111=>847 101010000=>848 101010001=>849 101010010=>850 101010011=>851 101010100=>852 101010101=>853 101010110=>854 101010111=>855 101011000=>856 101011001=>857 101011010=>858 101011011=>859 101011100=>860 101011101=>861 101011110=>862 101011111=>863 101100000=>864 101100001=>865 101100010=>866 101100011=>867 101100100=>868 101100101=>869 101100110=>870 101100111=>871 101101000=>872 101101001=>873 101101010=>874 101101011=>875 101101100=>876 101101101=>877 101101110=>878 101101111=>879 101110000=>880 101110001=>881 101110010=>882 101110011=>883 101110100=>884 101110101=>885 101110110=>886 101110111=>887 101111000=>888 101111001=>889 101111010=>890 101111011=>891 101111100=>892 101111101=>893 101111110=>894 101111111=>895 110000000=>896 110000001=>897 110000010=>898 110000011=>899 110000100=>900 110000101=>901 110000110=>902 110000111=>903 110001000=>904 110001001=>905 110001010=>906 110001011=>907 110001100=>908 110001101=>909 110001110=>910 110001111=>911 110010000=>912 110010001=>913 110010010=>914 110010011=>915 110010100=>916 110010101=>917 110010110=>918 110010111=>919 110011000=>920 110011001=>921 110011010=>922 110011011=>923 110011100=>924 110011101=>925 110011110=>926 110011111=>927 110100000=>928 110100001=>929 110100010=>930 110100011=>931 110100100=>932 110100101=>933 110100110=>934 110100111=>935 110101000=>936 110101001=>937 110101010=>938 110101011=>939 110101100=>940 110101101=>941 110101110=>942 110101111=>943 110110000=>944 110110001=>945 110110010=>946 110110011=>947 110110100=>948 110110101=>949 110110110=>950 110110111=>951 110111000=>952 110111001=>953 110111010=>954 110111011=>955 110111100=>956 110111101=>957 110111110=>958 110111111=>959 111000000=>960 111000001=>961 111000010=>962 111000011=>963 111000100=>964 111000101=>965 111000110=>966 111000111=>967 111001000=>968 111001001=>969 111001010=>970 111001011=>971 111001100=>972 111001101=>973 111001110=>974 111001111=>975 111010000=>976 111010001=>977 111010010=>978 111010011=>979 111010100=>980 111010101=>981 111010110=>982 111010111=>983 111011000=>984 111011001=>985 111011010=>986 111011011=>987 111011100=>988 111011101=>989 111011110=>990 111011111=>991 111100000=>992 111100001=>993 111100010=>994 111100011=>995 111100100=>996 111100101=>997 111100110=>998 111100111=>999 111101000=>1000 111101001=>1001 111101010=>1002 111101011=>1003 111101100=>1004 111101101=>1005 111101110=>1006 111101111=>1007 111110000=>1008 111110001=>1009 111110010=>1010 111110011=>1011 111110100=>1012 111110101=>1013 111110110=>1014 111110111=>1015 111111000=>1016 111111001=>1017 111111010=>1018 111111011=>1019 111111100=>1020 111111101=>1021 111111110=>1022 111111111=>1023 0000111110=>1086 0001111010=>1146 0001111100=>1148 0001110110=>1142 0001101110=>1134 0000011111=>1055 0000110111=>1079 0000101111=>1071 0000111011=>1083 0001101011=>1131 0001011011=>1115 0001100111=>1127 0001001111=>1103 0001010111=>1111 0000111101=>1085 0001101101=>1133 0001011101=>1117 0001110101=>1141 0010001111=>1167 0010101101=>1197 0001110011=>1139 0010011101=>1181 0010100111=>1191 0010011011=>1179 0010010111=>1175 0010101011=>1195 0001011110=>1118 0010101110=>1198 0010011110=>1182 0001111001=>1145 0010110001=>1201 0000111111=>1087 0000111001=>1081 0000100111=>1063 0010100101=>1189 0000100001=>1057 0001101111=>1135 0000101101=>1069 0001101001=>1129 0000000000=>1024 0001100000=>1120 0000011000=>1048 0001111000=>1144 0001001000=>1096 0000000110=>1030 0001100110=>1126 0000011110=>1054 0001111110=>1150 0001001110=>1102 0000010010=>1042 0001110010=>1138 0001000010=>1090 0001011010=>1114 0000001100=>1036 0000110000=>1072 0000111100=>1084 0000100100=>1060 0010010000=>1168 0010011100=>1180 0010000100=>1156 0000000011=>1027 0000001111=>1039 0000001001=>1033 0000110011=>1075 0010010011=>1171 0010011111=>1183 0010011001=>1177 0010000111=>1159 0010000001=>1153 0010001101=>1165 0001111101=>1149 0001110111=>1143 0000011101=>1053 0001010101=>1109 0001011111=>1119 0000010111=>1047 0000000101=>1029 0010010101=>1173 0000110101=>1077 0000011011=>1051 0001100011=>1123 0001111011=>1147 0001001011=>1099 0000000010=>1026 0000000001=>1025 0000001101=>1037 0000010101=>1045 0010001100=>1164 0001000011=>1091 0010000010=>1154 0001000001=>1089 0001100001=>1121 0000000100=>1028 0001010001=>1105 0000110001=>1073 0000010001=>1041 0010101010=>1194 0010101000=>1192 0010101100=>1196 0010100100=>1188 0010010100=>1172 0001010100=>1108 0010100000=>1184 0000010100=>1044 0000111010=>1082 0000011010=>1050 0000001010=>1034 0000101010=>1066 0000101000=>1064 0000010011=>1043 0010000000=>1152 0001101010=>1130 0001001010=>1098 0001010010=>1106 0001010110=>1110 0001010000=>1104 0000000111=>1031 0000001011=>1035 0001011001=>1113 0010001110=>1166 0010001000=>1160 0001100101=>1125 0001000110=>1094 0010100011=>1187 0010000110=>1158 0010100010=>1186 0001000101=>1093 0010001001=>1161 0000001000=>1032 0000100011=>1059 0010011010=>1178 0010001010=>1162 0010000101=>1157 0000100010=>1058 0001100010=>1122 0000110110=>1078 0000111000=>1080 0001110100=>1140 0000110100=>1076 0010101111=>1199 0001110000=>1136 0010110000=>1200 0000100110=>1062 0001000111=>1095 0000011001=>1049 0001000000=>1088 0000101011=>1067 0000101001=>1065 0000100101=>1061 0000101100=>1068 0000011100=>1052 0001000100=>1092 0001001001=>1097 0010010010=>1170 0001011100=>1116 0010010110=>1174 0000010000=>1040 0010010001=>1169 0010000011=>1155 0010011000=>1176 0001011000=>1112 0001001100=>1100 0001110001=>1137 0001001101=>1101 0010101001=>1193 0001101100=>1132 0000101110=>1070 0010100110=>1190 0000100000=>1056 0010001011=>1163 0010100001=>1185 0001111111=>1151 0001101000=>1128 0000001110=>1038 0000010110=>1046 0001100100=>1124 0000110010=>1074 0001010011=>1107
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Description
The decimal representation of a binary word with a leading 1.
This statistic is obtained by prepending $1$ to the binary word and interpreting it as a number in binary.
Code
def statistic(w):
    return Integer("0b1" + str(w))

Created
May 30, 2017 at 21:43 by Martin Rubey
Updated
May 30, 2017 at 21:43 by Martin Rubey