login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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