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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
OFFSET
7,8
COMMENTS
Also number of standard Young tableaux with last row of length 7.
LINKS
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-François Alcover, Feb 10 2015, after A238123 *)
CROSSREFS
Column k=7 of A238123.
Sequence in context: A034278 A116870 A064061 * A115133 A090200 A033279
KEYWORD
nonn
AUTHOR
Joerg Arndt and Alois P. Heinz, Jun 20 2014
STATUS
approved