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A288390 Number of Dyck paths of semilength n such that the number of peaks in each positive level is a member of this sequence. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 22 03:54 EDT 2020. Contains 337289 sequences. (Running on oeis4.)