A288540 Number of Dyck paths of semilength n such that the minimal number of peaks over all positive levels equals one.

1, 0, 2, 5, 13, 35, 112, 368, 1208, 3992, 13449, 46187, 160804, 565535, 2005796, 7168058, 25793100, 93388250, 340005973, 1244062960, 4572478054, 16874672868, 62508259095, 232338076267, 866289458048, 3239350667761, 12145345634715, 45649270140732

Offset

1,3

Links

Alois P. Heinz, Table of n, a(n) for n = 1..300

Wikipedia, Counting lattice paths

Example

: a(3) = 2:
:
:          /\    /\
:       /\/  \  /  \/\  .

Crossrefs

Column k=1 of A288387.

Cf. A000108.

Sequence in context: A148293 A148294 A148295 * A327014 A331030 A046171

Adjacent sequences: A288537 A288538 A288539 * A288541 A288542 A288543

Keyword

nonn

Author

Alois P. Heinz, Jun 11 2017

Status

approved