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A244103
Number of ballot sequences of length n having 6 largest parts.
2
1, 0, 0, 0, 0, 0, 132, 429, 1001, 2002, 3640, 6188, 97512, 569772, 3625998, 14847987, 62772941, 211719508, 877100400, 3621910050, 21265454080, 120016339560, 727205489010, 3972645105975, 21545198606739, 109895587819830, 577299928495856, 3037242685942432
OFFSET
6,7
COMMENTS
Also number of standard Young tableaux with last row of length 6.
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, 6]; Table[a[n], {n, 6, 30}] (* Jean-François Alcover, Feb 10 2015, after A238123 *)
CROSSREFS
Column k=6 of A238123.
Sequence in context: A305067 A278128 A064059 * A248555 A253502 A257105
KEYWORD
nonn
AUTHOR
Joerg Arndt and Alois P. Heinz, Jun 20 2014
STATUS
approved