A288542 Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals three.

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

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.

Cf. A000108.

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