A288546 Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals seven.

1, 0, 0, 0, 0, 0, 0, 0, 8, 233, 2340, 12232, 40730, 99560, 202520, 382832, 718521, 1365141, 2711069, 6858090, 31187295, 205460160, 1319924619, 7367292450, 35622715506, 152058928294, 585081743348, 2068466589925, 6834153443022, 21423303012910, 64613354395822

Offset

7,9

Links

Alois P. Heinz, Table of n, a(n) for n = 7..300

Wikipedia, Counting lattice paths

Crossrefs

Column k=7 of A288387.

Cf. A000108.

Sequence in context: A303450 A301437 A111836 * A134504 A145418 A240431

Adjacent sequences: A288543 A288544 A288545 * A288547 A288548 A288549

Keyword

nonn

Author

Alois P. Heinz, Jun 11 2017

Status

approved