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A244106 Number of ballot sequences of length n having 9 largest parts. 2
1, 0, 0, 0, 0, 0, 0, 0, 0, 4862, 16796, 41990, 90440, 177650, 326876, 572033, 961400, 1562275, 416782080, 2904006105, 20591110410, 93272863125, 429784750200, 1588873361400, 5988317533044, 19637330636352, 65753496366140, 376581209597560, 2635731247693060 (list; graph; refs; listen; history; text; internal format)
OFFSET

9,10

COMMENTS

Also number of standard Young tableaux with last row of length 9.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 9..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, 9]; Table[a[n], {n, 9, 30}] (* Jean-François Alcover, Feb 10 2015, after A238123 *)

CROSSREFS

Column k=9 of A238123.

Sequence in context: A031826 A243835 A124088 * A264182 A258496 A258397

Adjacent sequences:  A244103 A244104 A244105 * A244107 A244108 A244109

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jun 20 2014

STATUS

approved

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Last modified November 12 19:19 EST 2018. Contains 317116 sequences. (Running on oeis4.)