A288390 Number of Dyck paths of semilength n such that the number of peaks in each positive level is a term of this sequence.

1, 1, 1, 2, 5, 11, 28, 79, 215, 629, 1809, 5426, 16470, 50317, 155322, 483924, 1521732, 4822068, 15360504, 49144119, 158049374, 510824766, 1657541406, 5396486955, 17626155846, 57754129486, 189807753894, 625506513608, 2066420369017, 6842171033524

Offset

0,4

Links

Alois P. Heinz, Table of n, a(n) for n = 0..600

Wikipedia, Counting lattice paths

Example

a(4) = 5:
.
.           /\      /\      /\          /\/\    /\/\
.      /\/\/  \  /\/  \/\  /  \/\/\  /\/    \  /    \/\  .

Crossrefs

Cf. A000108, A288388.

Sequence in context: A202476 A210517 A244531 * A127331 A040998 A215939

Adjacent sequences: A288387 A288388 A288389 * A288391 A288392 A288393

Keyword

nonn

Author

Alois P. Heinz, Jun 08 2017

Status

approved