***************************************************************************** * 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: St000084 ----------------------------------------------------------------------------- Collection: Ordered trees ----------------------------------------------------------------------------- Description: The number of subtrees. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(t): return len(t) ----------------------------------------------------------------------------- Statistic values: [[]] => 1 [[],[]] => 2 [[[]]] => 1 [[],[],[]] => 3 [[],[[]]] => 2 [[[]],[]] => 2 [[[],[]]] => 1 [[[[]]]] => 1 [[],[],[],[]] => 4 [[],[],[[]]] => 3 [[],[[]],[]] => 3 [[],[[],[]]] => 2 [[],[[[]]]] => 2 [[[]],[],[]] => 3 [[[]],[[]]] => 2 [[[],[]],[]] => 2 [[[[]]],[]] => 2 [[[],[],[]]] => 1 [[[],[[]]]] => 1 [[[[]],[]]] => 1 [[[[],[]]]] => 1 [[[[[]]]]] => 1 [[],[],[],[],[]] => 5 [[],[],[],[[]]] => 4 [[],[],[[]],[]] => 4 [[],[],[[],[]]] => 3 [[],[],[[[]]]] => 3 [[],[[]],[],[]] => 4 [[],[[]],[[]]] => 3 [[],[[],[]],[]] => 3 [[],[[[]]],[]] => 3 [[],[[],[],[]]] => 2 [[],[[],[[]]]] => 2 [[],[[[]],[]]] => 2 [[],[[[],[]]]] => 2 [[],[[[[]]]]] => 2 [[[]],[],[],[]] => 4 [[[]],[],[[]]] => 3 [[[]],[[]],[]] => 3 [[[]],[[],[]]] => 2 [[[]],[[[]]]] => 2 [[[],[]],[],[]] => 3 [[[[]]],[],[]] => 3 [[[],[]],[[]]] => 2 [[[[]]],[[]]] => 2 [[[],[],[]],[]] => 2 [[[],[[]]],[]] => 2 [[[[]],[]],[]] => 2 [[[[],[]]],[]] => 2 [[[[[]]]],[]] => 2 [[[],[],[],[]]] => 1 [[[],[],[[]]]] => 1 [[[],[[]],[]]] => 1 [[[],[[],[]]]] => 1 [[[],[[[]]]]] => 1 [[[[]],[],[]]] => 1 [[[[]],[[]]]] => 1 [[[[],[]],[]]] => 1 [[[[[]]],[]]] => 1 [[[[],[],[]]]] => 1 [[[[],[[]]]]] => 1 [[[[[]],[]]]] => 1 [[[[[],[]]]]] => 1 [[[[[[]]]]]] => 1 [[],[],[],[],[],[]] => 6 [[],[],[],[],[[]]] => 5 [[],[],[],[[]],[]] => 5 [[],[],[],[[],[]]] => 4 [[],[],[],[[[]]]] => 4 [[],[],[[]],[],[]] => 5 [[],[],[[]],[[]]] => 4 [[],[],[[],[]],[]] => 4 [[],[],[[[]]],[]] => 4 [[],[],[[],[],[]]] => 3 [[],[],[[],[[]]]] => 3 [[],[],[[[]],[]]] => 3 [[],[],[[[],[]]]] => 3 [[],[],[[[[]]]]] => 3 [[],[[]],[],[],[]] => 5 [[],[[]],[],[[]]] => 4 [[],[[]],[[]],[]] => 4 [[],[[]],[[],[]]] => 3 [[],[[]],[[[]]]] => 3 [[],[[],[]],[],[]] => 4 [[],[[[]]],[],[]] => 4 [[],[[],[]],[[]]] => 3 [[],[[[]]],[[]]] => 3 [[],[[],[],[]],[]] => 3 [[],[[],[[]]],[]] => 3 [[],[[[]],[]],[]] => 3 [[],[[[],[]]],[]] => 3 [[],[[[[]]]],[]] => 3 [[],[[],[],[],[]]] => 2 [[],[[],[],[[]]]] => 2 [[],[[],[[]],[]]] => 2 [[],[[],[[],[]]]] => 2 [[],[[],[[[]]]]] => 2 [[],[[[]],[],[]]] => 2 [[],[[[]],[[]]]] => 2 [[],[[[],[]],[]]] => 2 [[],[[[[]]],[]]] => 2 [[],[[[],[],[]]]] => 2 [[],[[[],[[]]]]] => 2 [[],[[[[]],[]]]] => 2 [[],[[[[],[]]]]] => 2 [[],[[[[[]]]]]] => 2 [[[]],[],[],[],[]] => 5 [[[]],[],[],[[]]] => 4 [[[]],[],[[]],[]] => 4 [[[]],[],[[],[]]] => 3 [[[]],[],[[[]]]] => 3 [[[]],[[]],[],[]] => 4 [[[]],[[]],[[]]] => 3 [[[]],[[],[]],[]] => 3 [[[]],[[[]]],[]] => 3 [[[]],[[],[],[]]] => 2 [[[]],[[],[[]]]] => 2 [[[]],[[[]],[]]] => 2 [[[]],[[[],[]]]] => 2 [[[]],[[[[]]]]] => 2 [[[],[]],[],[],[]] => 4 [[[[]]],[],[],[]] => 4 [[[],[]],[],[[]]] => 3 [[[[]]],[],[[]]] => 3 [[[],[]],[[]],[]] => 3 [[[[]]],[[]],[]] => 3 [[[],[]],[[],[]]] => 2 [[[],[]],[[[]]]] => 2 [[[[]]],[[],[]]] => 2 [[[[]]],[[[]]]] => 2 [[[],[],[]],[],[]] => 3 [[[],[[]]],[],[]] => 3 [[[[]],[]],[],[]] => 3 [[[[],[]]],[],[]] => 3 [[[[[]]]],[],[]] => 3 [[[],[],[]],[[]]] => 2 [[[],[[]]],[[]]] => 2 [[[[]],[]],[[]]] => 2 [[[[],[]]],[[]]] => 2 [[[[[]]]],[[]]] => 2 [[[],[],[],[]],[]] => 2 [[[],[],[[]]],[]] => 2 [[[],[[]],[]],[]] => 2 [[[],[[],[]]],[]] => 2 [[[],[[[]]]],[]] => 2 [[[[]],[],[]],[]] => 2 [[[[]],[[]]],[]] => 2 [[[[],[]],[]],[]] => 2 [[[[[]]],[]],[]] => 2 [[[[],[],[]]],[]] => 2 [[[[],[[]]]],[]] => 2 [[[[[]],[]]],[]] => 2 [[[[[],[]]]],[]] => 2 [[[[[[]]]]],[]] => 2 [[[],[],[],[],[]]] => 1 [[[],[],[],[[]]]] => 1 [[[],[],[[]],[]]] => 1 [[[],[],[[],[]]]] => 1 [[[],[],[[[]]]]] => 1 [[[],[[]],[],[]]] => 1 [[[],[[]],[[]]]] => 1 [[[],[[],[]],[]]] => 1 [[[],[[[]]],[]]] => 1 [[[],[[],[],[]]]] => 1 [[[],[[],[[]]]]] => 1 [[[],[[[]],[]]]] => 1 [[[],[[[],[]]]]] => 1 [[[],[[[[]]]]]] => 1 [[[[]],[],[],[]]] => 1 [[[[]],[],[[]]]] => 1 [[[[]],[[]],[]]] => 1 [[[[]],[[],[]]]] => 1 [[[[]],[[[]]]]] => 1 [[[[],[]],[],[]]] => 1 [[[[[]]],[],[]]] => 1 [[[[],[]],[[]]]] => 1 [[[[[]]],[[]]]] => 1 [[[[],[],[]],[]]] => 1 [[[[],[[]]],[]]] => 1 [[[[[]],[]],[]]] => 1 [[[[[],[]]],[]]] => 1 [[[[[[]]]],[]]] => 1 [[[[],[],[],[]]]] => 1 [[[[],[],[[]]]]] => 1 [[[[],[[]],[]]]] => 1 [[[[],[[],[]]]]] => 1 [[[[],[[[]]]]]] => 1 [[[[[]],[],[]]]] => 1 [[[[[]],[[]]]]] => 1 [[[[[],[]],[]]]] => 1 [[[[[[]]],[]]]] => 1 [[[[[],[],[]]]]] => 1 [[[[[],[[]]]]]] => 1 [[[[[[]],[]]]]] => 1 [[[[[[],[]]]]]] => 1 [[[[[[[]]]]]]] => 1 ----------------------------------------------------------------------------- Created: Jun 13, 2013 at 10:05 by Viviane Pons ----------------------------------------------------------------------------- Last Updated: Feb 17, 2015 at 21:19 by Martin Rubey