A288542 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A288542

Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals three.

2

1, 0, 0, 0, 4, 29, 90, 188, 345, 825, 3089, 13450, 54526, 198846, 668430, 2155731, 6963768, 23265733, 81163559, 292726843, 1073684818, 3953422052, 14517741411, 53096290021, 193719344526, 706944953011, 2586796240687, 9505841335788, 35102295346482

(list; graph; refs; listen; history; text; internal format)

OFFSET

3,5

LINKS

Alois P. Heinz, Table of n, a(n) for n = 3..300

Wikipedia, Counting lattice paths

EXAMPLE

: a(7) = 4:

:

: /\/\/\ /\/\/\ /\/\/\ /\/\/\

: /\/\/\/ \ /\/\/ \/\ /\/ \/\/\ / \/\/\/\ .

CROSSREFS

Column k=3 of A288387.

Sequence in context: A042379 A184301 A192025 * A024394 A199399 A211545

Adjacent sequences: A288539 A288540 A288541 * A288543 A288544 A288545

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 11 2017

STATUS

approved