***************************************************************************** * 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: St001422 ----------------------------------------------------------------------------- Collection: Plane partitions ----------------------------------------------------------------------------- Description: The number of boxes of a plane partition. ----------------------------------------------------------------------------- References: ----------------------------------------------------------------------------- Code: def statistic(P): return sum(sum(L) for L in P) ----------------------------------------------------------------------------- Statistic values: [[1]] => 1 [[1],[1]] => 2 [[2]] => 2 [[1,1]] => 2 [[1],[1],[1]] => 3 [[2],[1]] => 3 [[1,1],[1]] => 3 [[3]] => 3 [[2,1]] => 3 [[1,1,1]] => 3 [[1],[1],[1],[1]] => 4 [[2],[1],[1]] => 4 [[2],[2]] => 4 [[1,1],[1],[1]] => 4 [[1,1],[1,1]] => 4 [[3],[1]] => 4 [[2,1],[1]] => 4 [[1,1,1],[1]] => 4 [[4]] => 4 [[3,1]] => 4 [[2,2]] => 4 [[2,1,1]] => 4 [[1,1,1,1]] => 4 [[1],[1],[1],[1],[1]] => 5 [[2],[1],[1],[1]] => 5 [[2],[2],[1]] => 5 [[1,1],[1],[1],[1]] => 5 [[1,1],[1,1],[1]] => 5 [[3],[1],[1]] => 5 [[3],[2]] => 5 [[2,1],[1],[1]] => 5 [[2,1],[2]] => 5 [[2,1],[1,1]] => 5 [[1,1,1],[1],[1]] => 5 [[1,1,1],[1,1]] => 5 [[4],[1]] => 5 [[3,1],[1]] => 5 [[2,2],[1]] => 5 [[2,1,1],[1]] => 5 [[1,1,1,1],[1]] => 5 [[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 ----------------------------------------------------------------------------- Created: Jun 18, 2019 at 20:51 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Jun 18, 2019 at 20:51 by Christian Stump