***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * 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: St001540 ----------------------------------------------------------------------------- Collection: Decorated permutations ----------------------------------------------------------------------------- Description: Difference in positively decorated fixed points and negatively decorated fixed points. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: ----------------------------------------------------------------------------- Statistic values: [+,+] => 2 [-,+] => 0 [+,-] => 0 [-,-] => 2 [2,1] => 0 [+,+,+] => 3 [-,+,+] => 1 [+,-,+] => 1 [+,+,-] => 1 [-,-,+] => 1 [-,+,-] => 1 [+,-,-] => 1 [-,-,-] => 3 [+,3,2] => 1 [-,3,2] => 1 [2,1,+] => 1 [2,1,-] => 1 [2,3,1] => 0 [3,1,2] => 0 [3,+,1] => 1 [3,-,1] => 1 [+,+,+,+] => 4 [-,+,+,+] => 2 [+,-,+,+] => 2 [+,+,-,+] => 2 [+,+,+,-] => 2 [-,-,+,+] => 0 [-,+,-,+] => 0 [-,+,+,-] => 0 [+,-,-,+] => 0 [+,-,+,-] => 0 [+,+,-,-] => 0 [-,-,-,+] => 2 [-,-,+,-] => 2 [-,+,-,-] => 2 [+,-,-,-] => 2 [-,-,-,-] => 4 [+,+,4,3] => 2 [-,+,4,3] => 0 [+,-,4,3] => 0 [-,-,4,3] => 2 [+,3,2,+] => 2 [-,3,2,+] => 0 [+,3,2,-] => 0 [-,3,2,-] => 2 [+,3,4,2] => 1 [-,3,4,2] => 1 [+,4,2,3] => 1 [-,4,2,3] => 1 [+,4,+,2] => 2 [-,4,+,2] => 0 [+,4,-,2] => 0 [-,4,-,2] => 2 [2,1,+,+] => 2 [2,1,-,+] => 0 [2,1,+,-] => 0 [2,1,-,-] => 2 [2,1,4,3] => 0 [2,3,1,+] => 1 [2,3,1,-] => 1 [2,3,4,1] => 0 [2,4,1,3] => 0 [2,4,+,1] => 1 [2,4,-,1] => 1 [3,1,2,+] => 1 [3,1,2,-] => 1 [3,1,4,2] => 0 [3,+,1,+] => 2 [3,-,1,+] => 0 [3,+,1,-] => 0 [3,-,1,-] => 2 [3,+,4,1] => 1 [3,-,4,1] => 1 [3,4,1,2] => 0 [3,4,2,1] => 0 [4,1,2,3] => 0 [4,1,+,2] => 1 [4,1,-,2] => 1 [4,+,1,3] => 1 [4,-,1,3] => 1 [4,+,+,1] => 2 [4,-,+,1] => 0 [4,+,-,1] => 0 [4,-,-,1] => 2 [4,3,1,2] => 0 [4,3,2,1] => 0 [+,+,+,+,+] => 5 [-,+,+,+,+] => 3 [+,-,+,+,+] => 3 [+,+,-,+,+] => 3 [+,+,+,-,+] => 3 [+,+,+,+,-] => 3 [-,-,+,+,+] => 1 [-,+,-,+,+] => 1 [-,+,+,-,+] => 1 [-,+,+,+,-] => 1 [+,-,-,+,+] => 1 [+,-,+,-,+] => 1 [+,-,+,+,-] => 1 [+,+,-,-,+] => 1 [+,+,-,+,-] => 1 [+,+,+,-,-] => 1 [-,-,-,+,+] => 1 [-,-,+,-,+] => 1 [-,-,+,+,-] => 1 [-,+,-,-,+] => 1 [-,+,-,+,-] => 1 [-,+,+,-,-] => 1 [+,-,-,-,+] => 1 [+,-,-,+,-] => 1 [+,-,+,-,-] => 1 [+,+,-,-,-] => 1 [-,-,-,-,+] => 3 [-,-,-,+,-] => 3 [-,-,+,-,-] => 3 [-,+,-,-,-] => 3 [+,-,-,-,-] => 3 [-,-,-,-,-] => 5 [+,+,+,5,4] => 3 [-,+,+,5,4] => 1 [+,-,+,5,4] => 1 [+,+,-,5,4] => 1 [-,-,+,5,4] => 1 [-,+,-,5,4] => 1 [+,-,-,5,4] => 1 [-,-,-,5,4] => 3 [+,+,4,3,+] => 3 [-,+,4,3,+] => 1 [+,-,4,3,+] => 1 [+,+,4,3,-] => 1 [-,-,4,3,+] => 1 [-,+,4,3,-] => 1 [+,-,4,3,-] => 1 [-,-,4,3,-] => 3 [+,+,4,5,3] => 2 [-,+,4,5,3] => 0 [+,-,4,5,3] => 0 [-,-,4,5,3] => 2 [+,+,5,3,4] => 2 [-,+,5,3,4] => 0 [+,-,5,3,4] => 0 [-,-,5,3,4] => 2 [+,+,5,+,3] => 3 [-,+,5,+,3] => 1 [+,-,5,+,3] => 1 [+,+,5,-,3] => 1 [-,-,5,+,3] => 1 [-,+,5,-,3] => 1 [+,-,5,-,3] => 1 [-,-,5,-,3] => 3 [+,3,2,+,+] => 3 [-,3,2,+,+] => 1 [+,3,2,-,+] => 1 [+,3,2,+,-] => 1 [-,3,2,-,+] => 1 [-,3,2,+,-] => 1 [+,3,2,-,-] => 1 [-,3,2,-,-] => 3 [+,3,2,5,4] => 1 [-,3,2,5,4] => 1 [+,3,4,2,+] => 2 [-,3,4,2,+] => 0 [+,3,4,2,-] => 0 [-,3,4,2,-] => 2 [+,3,4,5,2] => 1 [-,3,4,5,2] => 1 [+,3,5,2,4] => 1 [-,3,5,2,4] => 1 [+,3,5,+,2] => 2 [-,3,5,+,2] => 0 [+,3,5,-,2] => 0 [-,3,5,-,2] => 2 [+,4,2,3,+] => 2 [-,4,2,3,+] => 0 [+,4,2,3,-] => 0 [-,4,2,3,-] => 2 [+,4,2,5,3] => 1 [-,4,2,5,3] => 1 [+,4,+,2,+] => 3 [-,4,+,2,+] => 1 [+,4,-,2,+] => 1 [+,4,+,2,-] => 1 [-,4,-,2,+] => 1 [-,4,+,2,-] => 1 [+,4,-,2,-] => 1 [-,4,-,2,-] => 3 [+,4,+,5,2] => 2 [-,4,+,5,2] => 0 [+,4,-,5,2] => 0 [-,4,-,5,2] => 2 [+,4,5,2,3] => 1 [-,4,5,2,3] => 1 [+,4,5,3,2] => 1 [-,4,5,3,2] => 1 [+,5,2,3,4] => 1 [-,5,2,3,4] => 1 [+,5,2,+,3] => 2 [-,5,2,+,3] => 0 [+,5,2,-,3] => 0 [-,5,2,-,3] => 2 [+,5,+,2,4] => 2 [-,5,+,2,4] => 0 [+,5,-,2,4] => 0 [-,5,-,2,4] => 2 [+,5,+,+,2] => 3 [-,5,+,+,2] => 1 [+,5,-,+,2] => 1 [+,5,+,-,2] => 1 [-,5,-,+,2] => 1 [-,5,+,-,2] => 1 [+,5,-,-,2] => 1 [-,5,-,-,2] => 3 [+,5,4,2,3] => 1 [-,5,4,2,3] => 1 [+,5,4,3,2] => 1 [-,5,4,3,2] => 1 [2,1,+,+,+] => 3 [2,1,-,+,+] => 1 [2,1,+,-,+] => 1 [2,1,+,+,-] => 1 [2,1,-,-,+] => 1 [2,1,-,+,-] => 1 [2,1,+,-,-] => 1 [2,1,-,-,-] => 3 [2,1,+,5,4] => 1 [2,1,-,5,4] => 1 [2,1,4,3,+] => 1 [2,1,4,3,-] => 1 [2,1,4,5,3] => 0 [2,1,5,3,4] => 0 [2,1,5,+,3] => 1 [2,1,5,-,3] => 1 [2,3,1,+,+] => 2 [2,3,1,-,+] => 0 [2,3,1,+,-] => 0 [2,3,1,-,-] => 2 [2,3,1,5,4] => 0 [2,3,4,1,+] => 1 [2,3,4,1,-] => 1 [2,3,4,5,1] => 0 [2,3,5,1,4] => 0 [2,3,5,+,1] => 1 [2,3,5,-,1] => 1 [2,4,1,3,+] => 1 [2,4,1,3,-] => 1 [2,4,1,5,3] => 0 [2,4,+,1,+] => 2 [2,4,-,1,+] => 0 [2,4,+,1,-] => 0 [2,4,-,1,-] => 2 [2,4,+,5,1] => 1 [2,4,-,5,1] => 1 [2,4,5,1,3] => 0 [2,4,5,3,1] => 0 [2,5,1,3,4] => 0 [2,5,1,+,3] => 1 [2,5,1,-,3] => 1 [2,5,+,1,4] => 1 [2,5,-,1,4] => 1 [2,5,+,+,1] => 2 [2,5,-,+,1] => 0 [2,5,+,-,1] => 0 [2,5,-,-,1] => 2 [2,5,4,1,3] => 0 [2,5,4,3,1] => 0 [3,1,2,+,+] => 2 [3,1,2,-,+] => 0 [3,1,2,+,-] => 0 [3,1,2,-,-] => 2 [3,1,2,5,4] => 0 [3,1,4,2,+] => 1 [3,1,4,2,-] => 1 [3,1,4,5,2] => 0 [3,1,5,2,4] => 0 [3,1,5,+,2] => 1 [3,1,5,-,2] => 1 [3,+,1,+,+] => 3 [3,-,1,+,+] => 1 [3,+,1,-,+] => 1 [3,+,1,+,-] => 1 [3,-,1,-,+] => 1 [3,-,1,+,-] => 1 [3,+,1,-,-] => 1 [3,-,1,-,-] => 3 [3,+,1,5,4] => 1 [3,-,1,5,4] => 1 [3,+,4,1,+] => 2 [3,-,4,1,+] => 0 [3,+,4,1,-] => 0 [3,-,4,1,-] => 2 [3,+,4,5,1] => 1 [3,-,4,5,1] => 1 [3,+,5,1,4] => 1 [3,-,5,1,4] => 1 [3,+,5,+,1] => 2 [3,-,5,+,1] => 0 [3,+,5,-,1] => 0 [3,-,5,-,1] => 2 [3,4,1,2,+] => 1 [3,4,1,2,-] => 1 [3,4,1,5,2] => 0 [3,4,2,1,+] => 1 [3,4,2,1,-] => 1 [3,4,2,5,1] => 0 [3,4,5,1,2] => 0 [3,4,5,2,1] => 0 [3,5,1,2,4] => 0 [3,5,1,+,2] => 1 [3,5,1,-,2] => 1 [3,5,2,1,4] => 0 [3,5,2,+,1] => 1 [3,5,2,-,1] => 1 [3,5,4,1,2] => 0 [3,5,4,2,1] => 0 [4,1,2,3,+] => 1 [4,1,2,3,-] => 1 [4,1,2,5,3] => 0 [4,1,+,2,+] => 2 [4,1,-,2,+] => 0 [4,1,+,2,-] => 0 [4,1,-,2,-] => 2 [4,1,+,5,2] => 1 [4,1,-,5,2] => 1 [4,1,5,2,3] => 0 [4,1,5,3,2] => 0 [4,+,1,3,+] => 2 [4,-,1,3,+] => 0 [4,+,1,3,-] => 0 [4,-,1,3,-] => 2 [4,+,1,5,3] => 1 [4,-,1,5,3] => 1 [4,+,+,1,+] => 3 [4,-,+,1,+] => 1 [4,+,-,1,+] => 1 [4,+,+,1,-] => 1 [4,-,-,1,+] => 1 [4,-,+,1,-] => 1 [4,+,-,1,-] => 1 [4,-,-,1,-] => 3 [4,+,+,5,1] => 2 [4,-,+,5,1] => 0 [4,+,-,5,1] => 0 [4,-,-,5,1] => 2 [4,+,5,1,3] => 1 [4,-,5,1,3] => 1 [4,+,5,3,1] => 1 [4,-,5,3,1] => 1 [4,3,1,2,+] => 1 [4,3,1,2,-] => 1 [4,3,1,5,2] => 0 [4,3,2,1,+] => 1 [4,3,2,1,-] => 1 [4,3,2,5,1] => 0 [4,3,5,1,2] => 0 [4,3,5,2,1] => 0 [4,5,1,2,3] => 0 [4,5,1,3,2] => 0 [4,5,2,1,3] => 0 [4,5,2,3,1] => 0 [4,5,+,1,2] => 1 [4,5,-,1,2] => 1 [4,5,+,2,1] => 1 [4,5,-,2,1] => 1 [5,1,2,3,4] => 0 [5,1,2,+,3] => 1 [5,1,2,-,3] => 1 [5,1,+,2,4] => 1 [5,1,-,2,4] => 1 [5,1,+,+,2] => 2 [5,1,-,+,2] => 0 [5,1,+,-,2] => 0 [5,1,-,-,2] => 2 [5,1,4,2,3] => 0 [5,1,4,3,2] => 0 [5,+,1,3,4] => 1 [5,-,1,3,4] => 1 [5,+,1,+,3] => 2 [5,-,1,+,3] => 0 [5,+,1,-,3] => 0 [5,-,1,-,3] => 2 [5,+,+,1,4] => 2 [5,-,+,1,4] => 0 [5,+,-,1,4] => 0 [5,-,-,1,4] => 2 [5,+,+,+,1] => 3 [5,-,+,+,1] => 1 [5,+,-,+,1] => 1 [5,+,+,-,1] => 1 [5,-,-,+,1] => 1 [5,-,+,-,1] => 1 [5,+,-,-,1] => 1 [5,-,-,-,1] => 3 [5,+,4,1,3] => 1 [5,-,4,1,3] => 1 [5,+,4,3,1] => 1 [5,-,4,3,1] => 1 [5,3,1,2,4] => 0 [5,3,1,+,2] => 1 [5,3,1,-,2] => 1 [5,3,2,1,4] => 0 [5,3,2,+,1] => 1 [5,3,2,-,1] => 1 [5,3,4,1,2] => 0 [5,3,4,2,1] => 0 [5,4,1,2,3] => 0 [5,4,1,3,2] => 0 [5,4,2,1,3] => 0 [5,4,2,3,1] => 0 [5,4,+,1,2] => 1 [5,4,-,1,2] => 1 [5,4,+,2,1] => 1 [5,4,-,2,1] => 1 ----------------------------------------------------------------------------- Created: May 11, 2020 at 03:21 by James Thorne ----------------------------------------------------------------------------- Last Updated: May 11, 2020 at 03:21 by James Thorne