*****************************************************************************
*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
*                                                                           *
*    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