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 A244107 Number of ballot sequences of length n having 10 largest parts. 2
 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16796, 58786, 149226, 326876, 653752, 1225785, 2187185, 3749460, 6216210, 10015005, 7661738955, 54722507580, 395948080320, 1833749903700, 8617567868184, 32552623293036, 125052931581776, 418634577697116, 1427554615084576 (list; graph; refs; listen; history; text; internal format)
 OFFSET 10,11 COMMENTS Also number of standard Young tableaux with last row of length 10. LINKS Alois P. Heinz, Table of n, a(n) for n = 10..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, 10]; Table[a[n], {n, 10, 30}] (* Jean-François Alcover, Feb 10 2015, after A238123 *) CROSSREFS Column k=10 of A238123. Sequence in context: A053074 A115923 A243836 * A264183 A258497 A258398 Adjacent sequences:  A244104 A244105 A244106 * A244108 A244109 A244110 KEYWORD nonn AUTHOR Joerg Arndt and Alois P. Heinz, Jun 20 2014 STATUS approved

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Last modified April 16 05:26 EDT 2021. Contains 343030 sequences. (Running on oeis4.)