A244105 Number of ballot sequences of length n having 8 largest parts.

1, 0, 0, 0, 0, 0, 0, 0, 1430, 4862, 11934, 25194, 48450, 87210, 149226, 245157, 23761001, 159952925, 1105745355, 4877504775, 21957739245, 79151445945, 291770177400, 934243294725, 4553273607924, 25467623215188, 210714037216628, 1472412825136220

Offset

8,9

Comments

Also number of standard Young tableaux with last row of length 8.

Links

Alois P. Heinz, Table of n, a(n) for n = 8..100

Mathematica

b[n_, l_List] := b[n, l] = If[n < 1, x^l[[-1]], b[n - 1, Append[l, 1]] + Sum[If[i == 1 || l[[i - 1]] > l[[i]], b[n - 1, ReplacePart[l, i -> l[[i]] + 1]], 0], {i, 1, Length[l]}]]; a[n_] := Coefficient[b[n - 1, {1}], x, 8]; Table[a[n], {n, 8, 30}] (* Jean-François Alcover, Feb 10 2015, after A238123 *)

Crossrefs

Column k=8 of A238123.

Sequence in context: A060364 A243834 A124087 * A264181 A064305 A258495

Adjacent sequences: A244102 A244103 A244104 * A244106 A244107 A244108

Keyword

nonn

Author

Joerg Arndt and Alois P. Heinz, Jun 20 2014

Status

approved