*****************************************************************************
* www.FindStat.org - The Combinatorial Statistic Finder *
* *
* Copyright (C) 2019 The FindStatCrew <info@findstat.org> *
* *
* This information is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
*****************************************************************************
-----------------------------------------------------------------------------
Statistic identifier: St000289
-----------------------------------------------------------------------------
Collection: Binary words
-----------------------------------------------------------------------------
Description: The decimal representation of a binary word.
-----------------------------------------------------------------------------
References:
-----------------------------------------------------------------------------
Code:
def statistic(x):
return Integer("0b" + str(x))
-----------------------------------------------------------------------------
Statistic values:
0 => 0
1 => 1
00 => 0
01 => 1
10 => 2
11 => 3
000 => 0
001 => 1
010 => 2
011 => 3
100 => 4
101 => 5
110 => 6
111 => 7
0000 => 0
0001 => 1
0010 => 2
0011 => 3
0100 => 4
0101 => 5
0110 => 6
0111 => 7
1000 => 8
1001 => 9
1010 => 10
1011 => 11
1100 => 12
1101 => 13
1110 => 14
1111 => 15
00000 => 0
00001 => 1
00010 => 2
00011 => 3
00100 => 4
00101 => 5
00110 => 6
00111 => 7
01000 => 8
01001 => 9
01010 => 10
01011 => 11
01100 => 12
01101 => 13
01110 => 14
01111 => 15
10000 => 16
10001 => 17
10010 => 18
10011 => 19
10100 => 20
10101 => 21
10110 => 22
10111 => 23
11000 => 24
11001 => 25
11010 => 26
11011 => 27
11100 => 28
11101 => 29
11110 => 30
11111 => 31
000000 => 0
000001 => 1
000010 => 2
000011 => 3
000100 => 4
000101 => 5
000110 => 6
000111 => 7
001000 => 8
001001 => 9
001010 => 10
001011 => 11
001100 => 12
001101 => 13
001110 => 14
001111 => 15
010000 => 16
010001 => 17
010010 => 18
010011 => 19
010100 => 20
010101 => 21
010110 => 22
010111 => 23
011000 => 24
011001 => 25
011010 => 26
011011 => 27
011100 => 28
011101 => 29
011110 => 30
011111 => 31
100000 => 32
100001 => 33
100010 => 34
100011 => 35
100100 => 36
100101 => 37
100110 => 38
100111 => 39
101000 => 40
101001 => 41
101010 => 42
101011 => 43
101100 => 44
101101 => 45
101110 => 46
101111 => 47
110000 => 48
110001 => 49
110010 => 50
110011 => 51
110100 => 52
110101 => 53
110110 => 54
110111 => 55
111000 => 56
111001 => 57
111010 => 58
111011 => 59
111100 => 60
111101 => 61
111110 => 62
111111 => 63
0000000 => 0
0000001 => 1
0000010 => 2
0000011 => 3
0000100 => 4
0000101 => 5
0000110 => 6
0000111 => 7
0001000 => 8
0001001 => 9
0001010 => 10
0001011 => 11
0001100 => 12
0001101 => 13
0001110 => 14
0001111 => 15
0010000 => 16
0010001 => 17
0010010 => 18
0010011 => 19
0010100 => 20
0010101 => 21
0010110 => 22
0010111 => 23
0011000 => 24
0011001 => 25
0011010 => 26
0011011 => 27
0011100 => 28
0011101 => 29
0011110 => 30
0011111 => 31
0100000 => 32
0100001 => 33
0100010 => 34
0100011 => 35
0100100 => 36
0100101 => 37
0100110 => 38
0100111 => 39
0101000 => 40
0101001 => 41
0101010 => 42
0101011 => 43
0101100 => 44
0101101 => 45
0101110 => 46
0101111 => 47
0110000 => 48
0110001 => 49
0110010 => 50
0110011 => 51
0110100 => 52
0110101 => 53
0110110 => 54
0110111 => 55
0111000 => 56
0111001 => 57
0111010 => 58
0111011 => 59
0111100 => 60
0111101 => 61
0111110 => 62
0111111 => 63
1000000 => 64
1000001 => 65
1000010 => 66
1000011 => 67
1000100 => 68
1000101 => 69
1000110 => 70
1000111 => 71
1001000 => 72
1001001 => 73
1001010 => 74
1001011 => 75
1001100 => 76
1001101 => 77
1001110 => 78
1001111 => 79
1010000 => 80
1010001 => 81
1010010 => 82
1010011 => 83
1010100 => 84
1010101 => 85
1010110 => 86
1010111 => 87
1011000 => 88
1011001 => 89
1011010 => 90
1011011 => 91
1011100 => 92
1011101 => 93
1011110 => 94
1011111 => 95
1100000 => 96
1100001 => 97
1100010 => 98
1100011 => 99
1100100 => 100
1100101 => 101
1100110 => 102
1100111 => 103
1101000 => 104
1101001 => 105
1101010 => 106
1101011 => 107
1101100 => 108
1101101 => 109
1101110 => 110
1101111 => 111
1110000 => 112
1110001 => 113
1110010 => 114
1110011 => 115
1110100 => 116
1110101 => 117
1110110 => 118
1110111 => 119
1111000 => 120
1111001 => 121
1111010 => 122
1111011 => 123
1111100 => 124
1111101 => 125
1111110 => 126
1111111 => 127
00000000 => 0
00000001 => 1
00000010 => 2
00000011 => 3
00000100 => 4
00000101 => 5
00000110 => 6
00000111 => 7
00001000 => 8
00001001 => 9
00001010 => 10
00001011 => 11
00001100 => 12
00001101 => 13
00001110 => 14
00001111 => 15
00010000 => 16
00010001 => 17
00010010 => 18
00010011 => 19
00010100 => 20
00010101 => 21
00010110 => 22
00010111 => 23
00011000 => 24
00011001 => 25
00011010 => 26
00011011 => 27
00011100 => 28
00011101 => 29
00011110 => 30
00011111 => 31
00100000 => 32
00100001 => 33
00100010 => 34
00100011 => 35
00100100 => 36
00100101 => 37
00100110 => 38
00100111 => 39
00101000 => 40
00101001 => 41
00101010 => 42
00101011 => 43
00101100 => 44
00101101 => 45
00101110 => 46
00101111 => 47
00110000 => 48
00110001 => 49
00110010 => 50
00110011 => 51
00110100 => 52
00110101 => 53
00110110 => 54
00110111 => 55
00111000 => 56
00111001 => 57
00111010 => 58
00111011 => 59
00111100 => 60
00111101 => 61
00111110 => 62
00111111 => 63
01000000 => 64
01000001 => 65
01000010 => 66
01000011 => 67
01000100 => 68
01000101 => 69
01000110 => 70
01000111 => 71
01001000 => 72
01001001 => 73
01001010 => 74
01001011 => 75
01001100 => 76
01001101 => 77
01001110 => 78
01001111 => 79
01010000 => 80
01010001 => 81
01010010 => 82
01010011 => 83
01010100 => 84
01010101 => 85
01010110 => 86
01010111 => 87
01011000 => 88
01011001 => 89
01011010 => 90
01011011 => 91
01011100 => 92
01011101 => 93
01011110 => 94
01011111 => 95
01100000 => 96
01100001 => 97
01100010 => 98
01100011 => 99
01100100 => 100
01100101 => 101
01100110 => 102
01100111 => 103
01101000 => 104
01101001 => 105
01101010 => 106
01101011 => 107
01101100 => 108
01101101 => 109
01101110 => 110
01101111 => 111
01110000 => 112
01110001 => 113
01110010 => 114
01110011 => 115
01110100 => 116
01110101 => 117
01110110 => 118
01110111 => 119
01111000 => 120
01111001 => 121
01111010 => 122
01111011 => 123
01111100 => 124
01111101 => 125
01111110 => 126
01111111 => 127
10000000 => 128
10000001 => 129
10000010 => 130
10000011 => 131
10000100 => 132
10000101 => 133
10000110 => 134
10000111 => 135
10001000 => 136
10001001 => 137
10001010 => 138
10001011 => 139
10001100 => 140
10001101 => 141
10001110 => 142
10001111 => 143
10010000 => 144
10010001 => 145
10010010 => 146
10010011 => 147
10010100 => 148
10010101 => 149
10010110 => 150
10010111 => 151
10011000 => 152
10011001 => 153
10011010 => 154
10011011 => 155
10011100 => 156
10011101 => 157
10011110 => 158
10011111 => 159
10100000 => 160
10100001 => 161
10100010 => 162
10100011 => 163
10100100 => 164
10100101 => 165
10100110 => 166
10100111 => 167
10101000 => 168
10101001 => 169
10101010 => 170
10101011 => 171
10101100 => 172
10101101 => 173
10101110 => 174
10101111 => 175
10110000 => 176
10110001 => 177
10110010 => 178
10110011 => 179
10110100 => 180
10110101 => 181
10110110 => 182
10110111 => 183
10111000 => 184
10111001 => 185
10111010 => 186
10111011 => 187
10111100 => 188
10111101 => 189
10111110 => 190
10111111 => 191
11000000 => 192
11000001 => 193
11000010 => 194
11000011 => 195
11000100 => 196
11000101 => 197
11000110 => 198
11000111 => 199
11001000 => 200
11001001 => 201
11001010 => 202
11001011 => 203
11001100 => 204
11001101 => 205
11001110 => 206
11001111 => 207
11010000 => 208
11010001 => 209
11010010 => 210
11010011 => 211
11010100 => 212
11010101 => 213
11010110 => 214
11010111 => 215
11011000 => 216
11011001 => 217
11011010 => 218
11011011 => 219
11011100 => 220
11011101 => 221
11011110 => 222
11011111 => 223
11100000 => 224
11100001 => 225
11100010 => 226
11100011 => 227
11100100 => 228
11100101 => 229
11100110 => 230
11100111 => 231
11101000 => 232
11101001 => 233
11101010 => 234
11101011 => 235
11101100 => 236
11101101 => 237
11101110 => 238
11101111 => 239
11110000 => 240
11110001 => 241
11110010 => 242
11110011 => 243
11110100 => 244
11110101 => 245
11110110 => 246
11110111 => 247
11111000 => 248
11111001 => 249
11111010 => 250
11111011 => 251
11111100 => 252
11111101 => 253
11111110 => 254
11111111 => 255
000000000 => 0
000000001 => 1
000000010 => 2
000000011 => 3
000000100 => 4
000000101 => 5
000000110 => 6
000000111 => 7
000001000 => 8
000001001 => 9
000001010 => 10
000001011 => 11
000001100 => 12
000001101 => 13
000001110 => 14
000001111 => 15
000010000 => 16
000010001 => 17
000010010 => 18
000010011 => 19
000010100 => 20
000010101 => 21
000010110 => 22
000010111 => 23
000011000 => 24
000011001 => 25
000011010 => 26
000011011 => 27
000011100 => 28
000011101 => 29
000011110 => 30
000011111 => 31
000100000 => 32
000100001 => 33
000100010 => 34
000100011 => 35
000100100 => 36
000100101 => 37
000100110 => 38
000100111 => 39
000101000 => 40
000101001 => 41
000101010 => 42
000101011 => 43
000101100 => 44
000101101 => 45
000101110 => 46
000101111 => 47
000110000 => 48
000110001 => 49
000110010 => 50
000110011 => 51
000110100 => 52
000110101 => 53
000110110 => 54
000110111 => 55
000111000 => 56
000111001 => 57
000111010 => 58
000111011 => 59
000111100 => 60
000111101 => 61
000111110 => 62
000111111 => 63
001000000 => 64
001000001 => 65
001000010 => 66
001000011 => 67
001000100 => 68
001000101 => 69
001000110 => 70
001000111 => 71
001001000 => 72
001001001 => 73
001001010 => 74
001001011 => 75
001001100 => 76
001001101 => 77
001001110 => 78
001001111 => 79
001010000 => 80
001010001 => 81
001010010 => 82
001010011 => 83
001010100 => 84
001010101 => 85
001010110 => 86
001010111 => 87
001011000 => 88
001011001 => 89
001011010 => 90
001011011 => 91
001011100 => 92
001011101 => 93
001011110 => 94
001011111 => 95
001100000 => 96
001100001 => 97
001100010 => 98
001100011 => 99
001100100 => 100
001100101 => 101
001100110 => 102
001100111 => 103
001101000 => 104
001101001 => 105
001101010 => 106
001101011 => 107
001101100 => 108
001101101 => 109
001101110 => 110
001101111 => 111
001110000 => 112
001110001 => 113
001110010 => 114
001110011 => 115
001110100 => 116
001110101 => 117
001110110 => 118
001110111 => 119
001111000 => 120
001111001 => 121
001111010 => 122
001111011 => 123
001111100 => 124
001111101 => 125
001111110 => 126
001111111 => 127
010000000 => 128
010000001 => 129
010000010 => 130
010000011 => 131
010000100 => 132
010000101 => 133
010000110 => 134
010000111 => 135
010001000 => 136
010001001 => 137
010001010 => 138
010001011 => 139
010001100 => 140
010001101 => 141
010001110 => 142
010001111 => 143
010010000 => 144
010010001 => 145
010010010 => 146
010010011 => 147
010010100 => 148
010010101 => 149
010010110 => 150
010010111 => 151
010011000 => 152
010011001 => 153
010011010 => 154
010011011 => 155
010011100 => 156
010011101 => 157
010011110 => 158
010011111 => 159
010100000 => 160
010100001 => 161
010100010 => 162
010100011 => 163
010100100 => 164
010100101 => 165
010100110 => 166
010100111 => 167
010101000 => 168
010101001 => 169
010101010 => 170
010101011 => 171
010101100 => 172
010101101 => 173
010101110 => 174
010101111 => 175
010110000 => 176
010110001 => 177
010110010 => 178
010110011 => 179
010110100 => 180
010110101 => 181
010110110 => 182
010110111 => 183
010111000 => 184
010111001 => 185
010111010 => 186
010111011 => 187
010111100 => 188
010111101 => 189
010111110 => 190
010111111 => 191
011000000 => 192
011000001 => 193
011000010 => 194
011000011 => 195
011000100 => 196
011000101 => 197
011000110 => 198
011000111 => 199
011001000 => 200
011001001 => 201
011001010 => 202
011001011 => 203
011001100 => 204
011001101 => 205
011001110 => 206
011001111 => 207
011010000 => 208
011010001 => 209
011010010 => 210
011010011 => 211
011010100 => 212
011010101 => 213
011010110 => 214
011010111 => 215
011011000 => 216
011011001 => 217
011011010 => 218
011011011 => 219
011011100 => 220
011011101 => 221
011011110 => 222
011011111 => 223
011100000 => 224
011100001 => 225
011100010 => 226
011100011 => 227
011100100 => 228
011100101 => 229
011100110 => 230
011100111 => 231
011101000 => 232
011101001 => 233
011101010 => 234
011101011 => 235
011101100 => 236
011101101 => 237
011101110 => 238
011101111 => 239
011110000 => 240
011110001 => 241
011110010 => 242
011110011 => 243
011110100 => 244
011110101 => 245
011110110 => 246
011110111 => 247
011111000 => 248
011111001 => 249
011111010 => 250
011111011 => 251
011111100 => 252
011111101 => 253
011111110 => 254
011111111 => 255
100000000 => 256
100000001 => 257
100000010 => 258
100000011 => 259
100000100 => 260
100000101 => 261
100000110 => 262
100000111 => 263
100001000 => 264
100001001 => 265
100001010 => 266
100001011 => 267
100001100 => 268
100001101 => 269
100001110 => 270
100001111 => 271
100010000 => 272
100010001 => 273
100010010 => 274
100010011 => 275
100010100 => 276
100010101 => 277
100010110 => 278
100010111 => 279
100011000 => 280
100011001 => 281
100011010 => 282
100011011 => 283
100011100 => 284
100011101 => 285
100011110 => 286
100011111 => 287
100100000 => 288
100100001 => 289
100100010 => 290
100100011 => 291
100100100 => 292
100100101 => 293
100100110 => 294
100100111 => 295
100101000 => 296
100101001 => 297
100101010 => 298
100101011 => 299
100101100 => 300
100101101 => 301
100101110 => 302
100101111 => 303
100110000 => 304
100110001 => 305
100110010 => 306
100110011 => 307
100110100 => 308
100110101 => 309
100110110 => 310
100110111 => 311
100111000 => 312
100111001 => 313
100111010 => 314
100111011 => 315
100111100 => 316
100111101 => 317
100111110 => 318
100111111 => 319
101000000 => 320
101000001 => 321
101000010 => 322
101000011 => 323
101000100 => 324
101000101 => 325
101000110 => 326
101000111 => 327
101001000 => 328
101001001 => 329
101001010 => 330
101001011 => 331
101001100 => 332
101001101 => 333
101001110 => 334
101001111 => 335
101010000 => 336
101010001 => 337
101010010 => 338
101010011 => 339
101010100 => 340
101010101 => 341
101010110 => 342
101010111 => 343
101011000 => 344
101011001 => 345
101011010 => 346
101011011 => 347
101011100 => 348
101011101 => 349
101011110 => 350
101011111 => 351
101100000 => 352
101100001 => 353
101100010 => 354
101100011 => 355
101100100 => 356
101100101 => 357
101100110 => 358
101100111 => 359
101101000 => 360
101101001 => 361
101101010 => 362
101101011 => 363
101101100 => 364
101101101 => 365
101101110 => 366
101101111 => 367
101110000 => 368
101110001 => 369
101110010 => 370
101110011 => 371
101110100 => 372
101110101 => 373
101110110 => 374
101110111 => 375
101111000 => 376
101111001 => 377
101111010 => 378
101111011 => 379
101111100 => 380
101111101 => 381
101111110 => 382
101111111 => 383
110000000 => 384
110000001 => 385
110000010 => 386
110000011 => 387
110000100 => 388
110000101 => 389
110000110 => 390
110000111 => 391
110001000 => 392
110001001 => 393
110001010 => 394
110001011 => 395
110001100 => 396
110001101 => 397
110001110 => 398
110001111 => 399
110010000 => 400
110010001 => 401
110010010 => 402
110010011 => 403
110010100 => 404
110010101 => 405
110010110 => 406
110010111 => 407
110011000 => 408
110011001 => 409
110011010 => 410
110011011 => 411
110011100 => 412
110011101 => 413
110011110 => 414
110011111 => 415
110100000 => 416
110100001 => 417
110100010 => 418
110100011 => 419
110100100 => 420
110100101 => 421
110100110 => 422
110100111 => 423
110101000 => 424
110101001 => 425
110101010 => 426
110101011 => 427
110101100 => 428
110101101 => 429
110101110 => 430
110101111 => 431
110110000 => 432
110110001 => 433
110110010 => 434
110110011 => 435
110110100 => 436
110110101 => 437
110110110 => 438
110110111 => 439
110111000 => 440
110111001 => 441
110111010 => 442
110111011 => 443
110111100 => 444
110111101 => 445
110111110 => 446
110111111 => 447
111000000 => 448
111000001 => 449
111000010 => 450
111000011 => 451
111000100 => 452
111000101 => 453
111000110 => 454
111000111 => 455
111001000 => 456
111001001 => 457
111001010 => 458
111001011 => 459
111001100 => 460
111001101 => 461
111001110 => 462
111001111 => 463
111010000 => 464
111010001 => 465
111010010 => 466
111010011 => 467
111010100 => 468
111010101 => 469
111010110 => 470
111010111 => 471
111011000 => 472
111011001 => 473
111011010 => 474
111011011 => 475
111011100 => 476
111011101 => 477
111011110 => 478
111011111 => 479
111100000 => 480
111100001 => 481
111100010 => 482
111100011 => 483
111100100 => 484
111100101 => 485
111100110 => 486
111100111 => 487
111101000 => 488
111101001 => 489
111101010 => 490
111101011 => 491
111101100 => 492
111101101 => 493
111101110 => 494
111101111 => 495
111110000 => 496
111110001 => 497
111110010 => 498
111110011 => 499
111110100 => 500
111110101 => 501
111110110 => 502
111110111 => 503
111111000 => 504
111111001 => 505
111111010 => 506
111111011 => 507
111111100 => 508
111111101 => 509
111111110 => 510
111111111 => 511
-----------------------------------------------------------------------------
Created: Nov 08, 2015 at 10:26 by Martin Rubey
-----------------------------------------------------------------------------
Last Updated: Nov 08, 2015 at 10:26 by Martin Rubey