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Matchings avoiding the pattern 132.
2

%I #32 Feb 13 2024 09:33:05

%S 1,1,3,14,84,595,4750,41541,390566,3895957,40835749,446475634,

%T 5063092427,59282989982,714081785678,8821809194321,111497133471808,

%U 1438600278753167,18914553873419637,253017056507051876,3438813481812082962,47430059072002670873,663174089700143765780

%N Matchings avoiding the pattern 132.

%H Andrew Elvey Price, <a href="/A220911/b220911.txt">Table of n, a(n) for n = 0..28</a>

%H Jonathan Bloom and Sergi Elizalde, <a href="http://arxiv.org/abs/1211.3442">Pattern avoidance in matchings and partitions</a>, arXiv preprint arXiv:1211.3442 [math.CO], 2012. See Table 1.

%Y Cf. A220910.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Jan 03 2013

%E a(11)-a(22) from _Andrew Elvey Price_, Feb 13 2024

%E a(0)=1 prepended by _Alois P. Heinz_, Feb 13 2024