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Statistic identifier: St000950

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Collection: Dyck paths

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Description: Number of tilting modules of the corresponding LNakayama algebra, where a tilting module is a generalised tilting module of projective dimension 1.

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References: [1]  [[https://en.wikipedia.org/wiki/Tilting_theory]]

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Code:


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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

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Created: Aug 25, 2017 at 11:15 by Rene Marczinzik

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Last Updated: Aug 25, 2017 at 11:15 by Rene Marczinzik