***************************************************************************** * 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: St000950 ----------------------------------------------------------------------------- Collection: Dyck paths ----------------------------------------------------------------------------- Description: Number of tilting modules of the corresponding LNakayama algebra, where a tilting module is a generalised tilting module of projective dimension 1. ----------------------------------------------------------------------------- References: [1] [[https://en.wikipedia.org/wiki/Tilting_theory]] ----------------------------------------------------------------------------- Code: ----------------------------------------------------------------------------- Statistic values: [1,0] => 2 [1,0,1,0] => 2 [1,1,0,0] => 5 [1,0,1,0,1,0] => 2 [1,0,1,1,0,0] => 4 [1,1,0,0,1,0] => 5 [1,1,0,1,0,0] => 5 [1,1,1,0,0,0] => 14 [1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,1,0,0] => 4 [1,0,1,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,0] => 4 [1,0,1,1,1,0,0,0] => 10 [1,1,0,0,1,0,1,0] => 5 [1,1,0,0,1,1,0,0] => 10 [1,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,0] => 5 [1,1,0,1,1,0,0,0] => 10 [1,1,1,0,0,0,1,0] => 14 [1,1,1,0,0,1,0,0] => 14 [1,1,1,0,1,0,0,0] => 14 [1,1,1,1,0,0,0,0] => 42 [1,0,1,0,1,0,1,0,1,0] => 2 [1,0,1,0,1,0,1,1,0,0] => 4 [1,0,1,0,1,1,0,0,1,0] => 4 [1,0,1,0,1,1,0,1,0,0] => 4 [1,0,1,0,1,1,1,0,0,0] => 10 [1,0,1,1,0,0,1,0,1,0] => 4 [1,0,1,1,0,0,1,1,0,0] => 8 [1,0,1,1,0,1,0,0,1,0] => 4 [1,0,1,1,0,1,0,1,0,0] => 4 [1,0,1,1,0,1,1,0,0,0] => 8 [1,0,1,1,1,0,0,0,1,0] => 10 [1,0,1,1,1,0,0,1,0,0] => 10 [1,0,1,1,1,0,1,0,0,0] => 10 [1,0,1,1,1,1,0,0,0,0] => 28 [1,1,0,0,1,0,1,0,1,0] => 5 [1,1,0,0,1,0,1,1,0,0] => 10 [1,1,0,0,1,1,0,0,1,0] => 10 [1,1,0,0,1,1,0,1,0,0] => 10 [1,1,0,0,1,1,1,0,0,0] => 25 [1,1,0,1,0,0,1,0,1,0] => 5 [1,1,0,1,0,0,1,1,0,0] => 10 [1,1,0,1,0,1,0,0,1,0] => 5 [1,1,0,1,0,1,0,1,0,0] => 5 [1,1,0,1,0,1,1,0,0,0] => 10 [1,1,0,1,1,0,0,0,1,0] => 10 [1,1,0,1,1,0,0,1,0,0] => 10 [1,1,0,1,1,0,1,0,0,0] => 10 [1,1,0,1,1,1,0,0,0,0] => 25 [1,1,1,0,0,0,1,0,1,0] => 14 [1,1,1,0,0,0,1,1,0,0] => 28 [1,1,1,0,0,1,0,0,1,0] => 14 [1,1,1,0,0,1,0,1,0,0] => 14 [1,1,1,0,0,1,1,0,0,0] => 28 [1,1,1,0,1,0,0,0,1,0] => 14 [1,1,1,0,1,0,0,1,0,0] => 14 [1,1,1,0,1,0,1,0,0,0] => 14 [1,1,1,0,1,1,0,0,0,0] => 28 [1,1,1,1,0,0,0,0,1,0] => 42 [1,1,1,1,0,0,0,1,0,0] => 42 [1,1,1,1,0,0,1,0,0,0] => 42 [1,1,1,1,0,1,0,0,0,0] => 42 [1,1,1,1,1,0,0,0,0,0] => 132 ----------------------------------------------------------------------------- Created: Aug 25, 2017 at 11:15 by Rene Marczinzik ----------------------------------------------------------------------------- Last Updated: Aug 25, 2017 at 11:15 by Rene Marczinzik