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A244105 Number of ballot sequences of length n having 8 largest parts. 2
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 (list; graph; refs; listen; history; text; internal format)
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-Fran├žois 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

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Last modified April 5 00:43 EDT 2020. Contains 333238 sequences. (Running on oeis4.)