A220911 Matchings avoiding the pattern 132.

1, 1, 3, 14, 84, 595, 4750, 41541, 390566, 3895957, 40835749, 446475634, 5063092427, 59282989982, 714081785678, 8821809194321, 111497133471808, 1438600278753167, 18914553873419637, 253017056507051876, 3438813481812082962, 47430059072002670873, 663174089700143765780

Offset

0,3

Links

Andrew Elvey Price, Table of n, a(n) for n = 0..28

Jonathan Bloom and Sergi Elizalde, Pattern avoidance in matchings and partitions, arXiv preprint arXiv:1211.3442 [math.CO], 2012. See Table 1.

Crossrefs

Cf. A220910.

Sequence in context: A256330 A190761 A005700 * A088717 A111538 A354003

Adjacent sequences: A220908 A220909 A220910 * A220912 A220913 A220914

Keyword

nonn

Author

N. J. A. Sloane, Jan 03 2013

Extensions

a(11)-a(22) from Andrew Elvey Price, Feb 13 2024

a(0)=1 prepended by Alois P. Heinz, Feb 13 2024

Status

approved