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A244104 Number of ballot sequences of length n having 7 largest parts. 2
1, 0, 0, 0, 0, 0, 0, 429, 1430, 3432, 7072, 13260, 23256, 38760, 1447686, 9241353, 61760336, 263673564, 1154175880, 4037346170, 14498731260, 58819097610, 288661103640, 1967198408955, 12613467934524, 82682367942144, 480369377259200, 2684682541268112 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,8

COMMENTS

Also number of standard Young tableaux with last row of length 7.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..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, 7]; Table[a[n], {n, 7, 30}] (* Jean-Fran├žois Alcover, Feb 10 2015, after A238123 *)

CROSSREFS

Column k=7 of A238123.

Sequence in context: A034278 A116870 A064061 * A115133 A090200 A033279

Adjacent sequences:  A244101 A244102 A244103 * A244105 A244106 A244107

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jun 20 2014

STATUS

approved

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Last modified April 8 02:27 EDT 2020. Contains 333312 sequences. (Running on oeis4.)