***************************************************************************** * 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: St000228 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: The size of a partition. This statistic is the constant statistic of the level sets. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(x): return x.size() ----------------------------------------------------------------------------- Statistic values: [] => 0 [1] => 1 [2] => 2 [1,1] => 2 [3] => 3 [2,1] => 3 [1,1,1] => 3 [4] => 4 [3,1] => 4 [2,2] => 4 [2,1,1] => 4 [1,1,1,1] => 4 [5] => 5 [4,1] => 5 [3,2] => 5 [3,1,1] => 5 [2,2,1] => 5 [2,1,1,1] => 5 [1,1,1,1,1] => 5 [6] => 6 [5,1] => 6 [4,2] => 6 [4,1,1] => 6 [3,3] => 6 [3,2,1] => 6 [3,1,1,1] => 6 [2,2,2] => 6 [2,2,1,1] => 6 [2,1,1,1,1] => 6 [1,1,1,1,1,1] => 6 [7] => 7 [6,1] => 7 [5,2] => 7 [5,1,1] => 7 [4,3] => 7 [4,2,1] => 7 [4,1,1,1] => 7 [3,3,1] => 7 [3,2,2] => 7 [3,2,1,1] => 7 [3,1,1,1,1] => 7 [2,2,2,1] => 7 [2,2,1,1,1] => 7 [2,1,1,1,1,1] => 7 [1,1,1,1,1,1,1] => 7 [8] => 8 [7,1] => 8 [6,2] => 8 [6,1,1] => 8 [5,3] => 8 [5,2,1] => 8 [5,1,1,1] => 8 [4,4] => 8 [4,3,1] => 8 [4,2,2] => 8 [4,2,1,1] => 8 [4,1,1,1,1] => 8 [3,3,2] => 8 [3,3,1,1] => 8 [3,2,2,1] => 8 [3,2,1,1,1] => 8 [3,1,1,1,1,1] => 8 [2,2,2,2] => 8 [2,2,2,1,1] => 8 [2,2,1,1,1,1] => 8 [2,1,1,1,1,1,1] => 8 [1,1,1,1,1,1,1,1] => 8 [9] => 9 [8,1] => 9 [7,2] => 9 [7,1,1] => 9 [6,3] => 9 [6,2,1] => 9 [6,1,1,1] => 9 [5,4] => 9 [5,3,1] => 9 [5,2,2] => 9 [5,2,1,1] => 9 [5,1,1,1,1] => 9 [4,4,1] => 9 [4,3,2] => 9 [4,3,1,1] => 9 [4,2,2,1] => 9 [4,2,1,1,1] => 9 [4,1,1,1,1,1] => 9 [3,3,3] => 9 [3,3,2,1] => 9 [3,3,1,1,1] => 9 [3,2,2,2] => 9 [3,2,2,1,1] => 9 [3,2,1,1,1,1] => 9 [3,1,1,1,1,1,1] => 9 [2,2,2,2,1] => 9 [2,2,2,1,1,1] => 9 [2,2,1,1,1,1,1] => 9 [2,1,1,1,1,1,1,1] => 9 [1,1,1,1,1,1,1,1,1] => 9 [10] => 10 [9,1] => 10 [8,2] => 10 [8,1,1] => 10 [7,3] => 10 [7,2,1] => 10 [7,1,1,1] => 10 [6,4] => 10 [6,3,1] => 10 [6,2,2] => 10 [6,2,1,1] => 10 [6,1,1,1,1] => 10 [5,5] => 10 [5,4,1] => 10 [5,3,2] => 10 [5,3,1,1] => 10 [5,2,2,1] => 10 [5,2,1,1,1] => 10 [5,1,1,1,1,1] => 10 [4,4,2] => 10 [4,4,1,1] => 10 [4,3,3] => 10 [4,3,2,1] => 10 [4,3,1,1,1] => 10 [4,2,2,2] => 10 [4,2,2,1,1] => 10 [4,2,1,1,1,1] => 10 [4,1,1,1,1,1,1] => 10 [3,3,3,1] => 10 [3,3,2,2] => 10 [3,3,2,1,1] => 10 [3,3,1,1,1,1] => 10 [3,2,2,2,1] => 10 [3,2,2,1,1,1] => 10 [3,2,1,1,1,1,1] => 10 [3,1,1,1,1,1,1,1] => 10 [2,2,2,2,2] => 10 [2,2,2,2,1,1] => 10 [2,2,2,1,1,1,1] => 10 [2,2,1,1,1,1,1,1] => 10 [2,1,1,1,1,1,1,1,1] => 10 [1,1,1,1,1,1,1,1,1,1] => 10 ----------------------------------------------------------------------------- Created: Nov 19, 2014 at 16:52 by Ayushi Saxena ----------------------------------------------------------------------------- Last Updated: Oct 29, 2017 at 16:36 by Martin Rubey