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A244102 Number of ballot sequences of length n having 5 largest parts. 2
1, 0, 0, 0, 0, 42, 132, 297, 572, 1001, 7644, 38584, 227460, 880668, 3560106, 13136733, 53948258, 260567615, 1322074776, 7132302760, 36927209090, 189472194730, 965322122310, 4935547435455, 26391699530094, 143808787394511, 824237501959916, 4756694235326336 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,6

COMMENTS

Also number of standard Young tableaux with last row of length 5.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 5..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, 5]; Table[a[n], {n, 5, 30}] (* Jean-Fran├žois Alcover, Feb 10 2015, after A238123 *)

CROSSREFS

Column k=5 of A238123.

Sequence in context: A299362 A304613 A005557 * A045088 A303860 A002759

Adjacent sequences:  A244099 A244100 A244101 * A244103 A244104 A244105

KEYWORD

nonn

AUTHOR

Joerg Arndt and Alois P. Heinz, Jun 20 2014

STATUS

approved

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Last modified October 1 08:39 EDT 2020. Contains 337442 sequences. (Running on oeis4.)