A369476 Total number of weak ascents in all length-n weak ascent sequences.

0, 1, 4, 17, 83, 461, 2873, 19846, 150418, 1240398, 11051017, 105740309, 1081101474, 11758967146, 135544030566, 1650178088102, 21155166649234, 284821038726404, 4017445572746953, 59238368957321225, 911319667593472401, 14600491369553323529, 243205500769215401307

Offset

0,3

Comments

See A369321 for definitions.

Links

Alois P. Heinz, Table of n, a(n) for n = 0..400

Formula

a(n) = Sum_{k=0..n} k * A369321(n,k).

a(n) = A336070(n+1) - A336070(n).

Maple

b:= proc(n, i, t) option remember; `if`(n=0, 1,
      add(b(n-1, j, t+`if`(j>=i, 1, 0)), j=0..t+1))
    end:
a:= n-> b(n+1, -1$2)-b(n, -1$2):
seq(a(n), n=0..23);

Crossrefs

Cf. A336070, A369321.

Sequence in context: A377960 A373931 A052315 * A200716 A093904 A093344

Adjacent sequences: A369473 A369474 A369475 * A369477 A369478 A369479

Keyword

nonn

Author

Alois P. Heinz, Jan 23 2024

Status

approved