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

Author

Alois P. Heinz, Jun 11 2017

Keywords

• nonn

Examples

			: a(7) = 4:
:
:        /\/\/\        /\/\/\        /\/\/\        /\/\/\
: /\/\/\/      \  /\/\/      \/\  /\/      \/\/\  /      \/\/\/\  .
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 3..300
• Wikipedia, Counting lattice paths

Crossrefs

Column k=3 of A288387.

Cf. A000108.