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

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Statistic identifier: St000965

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Collection: Dyck paths

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Description: The sum of the dimension of Ext^i(D(A),A) for i=1,...,g when g denotes the global dimension of the corresponding LNakayama algebra.

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References: 

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Code:


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Statistic values:

[1,0]                     => 1
[1,0,1,0]                 => 1
[1,1,0,0]                 => 3
[1,0,1,0,1,0]             => 1
[1,0,1,1,0,0]             => 1
[1,1,0,0,1,0]             => 1
[1,1,0,1,0,0]             => 3
[1,1,1,0,0,0]             => 6
[1,0,1,0,1,0,1,0]         => 1
[1,0,1,0,1,1,0,0]         => 1
[1,0,1,1,0,0,1,0]         => 2
[1,0,1,1,0,1,0,0]         => 3
[1,0,1,1,1,0,0,0]         => 1
[1,1,0,0,1,0,1,0]         => 1
[1,1,0,0,1,1,0,0]         => 1
[1,1,0,1,0,0,1,0]         => 3
[1,1,0,1,0,1,0,0]         => 2
[1,1,0,1,1,0,0,0]         => 3
[1,1,1,0,0,0,1,0]         => 1
[1,1,1,0,0,1,0,0]         => 3
[1,1,1,0,1,0,0,0]         => 6
[1,1,1,1,0,0,0,0]         => 10
[1,0,1,0,1,0,1,0,1,0]     => 1
[1,0,1,0,1,0,1,1,0,0]     => 1
[1,0,1,0,1,1,0,0,1,0]     => 2
[1,0,1,0,1,1,0,1,0,0]     => 3
[1,0,1,0,1,1,1,0,0,0]     => 1
[1,0,1,1,0,0,1,0,1,0]     => 2
[1,0,1,1,0,0,1,1,0,0]     => 2
[1,0,1,1,0,1,0,0,1,0]     => 3
[1,0,1,1,0,1,0,1,0,0]     => 2
[1,0,1,1,0,1,1,0,0,0]     => 3
[1,0,1,1,1,0,0,0,1,0]     => 2
[1,0,1,1,1,0,0,1,0,0]     => 4
[1,0,1,1,1,0,1,0,0,0]     => 6
[1,0,1,1,1,1,0,0,0,0]     => 1
[1,1,0,0,1,0,1,0,1,0]     => 1
[1,1,0,0,1,0,1,1,0,0]     => 1
[1,1,0,0,1,1,0,0,1,0]     => 2
[1,1,0,0,1,1,0,1,0,0]     => 3
[1,1,0,0,1,1,1,0,0,0]     => 1
[1,1,0,1,0,0,1,0,1,0]     => 3
[1,1,0,1,0,0,1,1,0,0]     => 3
[1,1,0,1,0,1,0,0,1,0]     => 2
[1,1,0,1,0,1,0,1,0,0]     => 3
[1,1,0,1,0,1,1,0,0,0]     => 2
[1,1,0,1,1,0,0,0,1,0]     => 4
[1,1,0,1,1,0,0,1,0,0]     => 6
[1,1,0,1,1,0,1,0,0,0]     => 4
[1,1,0,1,1,1,0,0,0,0]     => 3
[1,1,1,0,0,0,1,0,1,0]     => 1
[1,1,1,0,0,0,1,1,0,0]     => 1
[1,1,1,0,0,1,0,0,1,0]     => 3
[1,1,1,0,0,1,0,1,0,0]     => 2
[1,1,1,0,0,1,1,0,0,0]     => 3
[1,1,1,0,1,0,0,0,1,0]     => 6
[1,1,1,0,1,0,0,1,0,0]     => 4
[1,1,1,0,1,0,1,0,0,0]     => 4
[1,1,1,0,1,1,0,0,0,0]     => 6
[1,1,1,1,0,0,0,0,1,0]     => 1
[1,1,1,1,0,0,0,1,0,0]     => 3
[1,1,1,1,0,0,1,0,0,0]     => 6
[1,1,1,1,0,1,0,0,0,0]     => 10
[1,1,1,1,1,0,0,0,0,0]     => 15
[1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,1,0,0,1,0] => 2
[1,0,1,0,1,0,1,1,0,1,0,0] => 3
[1,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,1,0,0,1,0,1,0] => 2
[1,0,1,0,1,1,0,0,1,1,0,0] => 2
[1,0,1,0,1,1,0,1,0,0,1,0] => 3
[1,0,1,0,1,1,0,1,0,1,0,0] => 2
[1,0,1,0,1,1,0,1,1,0,0,0] => 3
[1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,0,1,1,1,1,0,0,0,0] => 1
[1,0,1,1,0,0,1,0,1,0,1,0] => 2
[1,0,1,1,0,0,1,0,1,1,0,0] => 2
[1,0,1,1,0,0,1,1,0,0,1,0] => 3
[1,0,1,1,0,0,1,1,0,1,0,0] => 4
[1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,0,1,1,0,1,0,0,1,0,1,0] => 3
[1,0,1,1,0,1,0,0,1,1,0,0] => 3
[1,0,1,1,0,1,0,1,0,0,1,0] => 2
[1,0,1,1,0,1,0,1,0,1,0,0] => 3
[1,0,1,1,0,1,0,1,1,0,0,0] => 2
[1,0,1,1,0,1,1,0,0,0,1,0] => 4
[1,0,1,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,0] => 4
[1,0,1,1,0,1,1,1,0,0,0,0] => 3
[1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,0,1,1,1,0,0,1,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,1,0,0] => 3
[1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,1,0,0,0] => 4
[1,0,1,1,1,0,1,1,0,0,0,0] => 6
[1,0,1,1,1,1,0,0,0,0,1,0] => 2
[1,0,1,1,1,1,0,0,0,1,0,0] => 4
[1,0,1,1,1,1,0,0,1,0,0,0] => 7
[1,0,1,1,1,1,0,1,0,0,0,0] => 10
[1,0,1,1,1,1,1,0,0,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,0,1,0] => 1
[1,1,0,0,1,0,1,0,1,1,0,0] => 1
[1,1,0,0,1,0,1,1,0,0,1,0] => 2
[1,1,0,0,1,0,1,1,0,1,0,0] => 3
[1,1,0,0,1,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,0,1,0] => 2
[1,1,0,0,1,1,0,0,1,1,0,0] => 2
[1,1,0,0,1,1,0,1,0,0,1,0] => 3
[1,1,0,0,1,1,0,1,0,1,0,0] => 2
[1,1,0,0,1,1,0,1,1,0,0,0] => 3
[1,1,0,0,1,1,1,0,0,0,1,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0] => 4
[1,1,0,0,1,1,1,0,1,0,0,0] => 6
[1,1,0,0,1,1,1,1,0,0,0,0] => 1
[1,1,0,1,0,0,1,0,1,0,1,0] => 3
[1,1,0,1,0,0,1,0,1,1,0,0] => 3
[1,1,0,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,1,0,0,1,1,0,1,0,0] => 6
[1,1,0,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,1,0,0,1,0,1,0] => 2
[1,1,0,1,0,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,1,0,1,0,0,1,0] => 3
[1,1,0,1,0,1,0,1,0,1,0,0] => 3
[1,1,0,1,0,1,0,1,1,0,0,0] => 3
[1,1,0,1,0,1,1,0,0,0,1,0] => 3
[1,1,0,1,0,1,1,0,0,1,0,0] => 4
[1,1,0,1,0,1,1,0,1,0,0,0] => 5
[1,1,0,1,0,1,1,1,0,0,0,0] => 2
[1,1,0,1,1,0,0,0,1,0,1,0] => 4
[1,1,0,1,1,0,0,0,1,1,0,0] => 4
[1,1,0,1,1,0,0,1,0,0,1,0] => 6
[1,1,0,1,1,0,0,1,0,1,0,0] => 4
[1,1,0,1,1,0,0,1,1,0,0,0] => 6
[1,1,0,1,1,0,1,0,0,0,1,0] => 4
[1,1,0,1,1,0,1,0,0,1,0,0] => 3
[1,1,0,1,1,0,1,0,1,0,0,0] => 6
[1,1,0,1,1,0,1,1,0,0,0,0] => 4
[1,1,0,1,1,1,0,0,0,0,1,0] => 4
[1,1,0,1,1,1,0,0,0,1,0,0] => 6
[1,1,0,1,1,1,0,0,1,0,0,0] => 10
[1,1,0,1,1,1,0,1,0,0,0,0] => 7
[1,1,0,1,1,1,1,0,0,0,0,0] => 3
[1,1,1,0,0,0,1,0,1,0,1,0] => 1
[1,1,1,0,0,0,1,0,1,1,0,0] => 1
[1,1,1,0,0,0,1,1,0,0,1,0] => 2
[1,1,1,0,0,0,1,1,0,1,0,0] => 3
[1,1,1,0,0,0,1,1,1,0,0,0] => 1
[1,1,1,0,0,1,0,0,1,0,1,0] => 3
[1,1,1,0,0,1,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,1,0,0,1,0] => 2
[1,1,1,0,0,1,0,1,0,1,0,0] => 3
[1,1,1,0,0,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,1,1,0,0,0,1,0] => 4
[1,1,1,0,0,1,1,0,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,1,0,0,0] => 4
[1,1,1,0,0,1,1,1,0,0,0,0] => 3
[1,1,1,0,1,0,0,0,1,0,1,0] => 6
[1,1,1,0,1,0,0,0,1,1,0,0] => 6
[1,1,1,0,1,0,0,1,0,0,1,0] => 4
[1,1,1,0,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,1,0,0,1,1,0,0,0] => 4
[1,1,1,0,1,0,1,0,0,0,1,0] => 4
[1,1,1,0,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,1,0,0,0] => 4
[1,1,1,0,1,0,1,1,0,0,0,0] => 4
[1,1,1,0,1,1,0,0,0,0,1,0] => 7
[1,1,1,0,1,1,0,0,0,1,0,0] => 10
[1,1,1,0,1,1,0,0,1,0,0,0] => 7
[1,1,1,0,1,1,0,1,0,0,0,0] => 6
[1,1,1,0,1,1,1,0,0,0,0,0] => 6
[1,1,1,1,0,0,0,0,1,0,1,0] => 1
[1,1,1,1,0,0,0,0,1,1,0,0] => 1
[1,1,1,1,0,0,0,1,0,0,1,0] => 3
[1,1,1,1,0,0,0,1,0,1,0,0] => 2
[1,1,1,1,0,0,0,1,1,0,0,0] => 3
[1,1,1,1,0,0,1,0,0,0,1,0] => 6
[1,1,1,1,0,0,1,0,0,1,0,0] => 4
[1,1,1,1,0,0,1,0,1,0,0,0] => 4
[1,1,1,1,0,0,1,1,0,0,0,0] => 6
[1,1,1,1,0,1,0,0,0,0,1,0] => 10
[1,1,1,1,0,1,0,0,0,1,0,0] => 7
[1,1,1,1,0,1,0,0,1,0,0,0] => 6
[1,1,1,1,0,1,0,1,0,0,0,0] => 7
[1,1,1,1,0,1,1,0,0,0,0,0] => 10
[1,1,1,1,1,0,0,0,0,0,1,0] => 1
[1,1,1,1,1,0,0,0,0,1,0,0] => 3
[1,1,1,1,1,0,0,0,1,0,0,0] => 6
[1,1,1,1,1,0,0,1,0,0,0,0] => 10
[1,1,1,1,1,0,1,0,0,0,0,0] => 15
[1,1,1,1,1,1,0,0,0,0,0,0] => 21

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Created: Aug 31, 2017 at 11:17 by Rene Marczinzik

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Last Updated: Aug 31, 2017 at 11:17 by Rene Marczinzik