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A215554
a(n) = binomial(10*n,n)*(8*n+1)/(9*n+1).
2
1, 9, 170, 3625, 81510, 1888460, 44602348, 1067658735, 25810820750, 628737007195, 15408077648040, 379444514503119, 9382177773301060, 232775087755980000, 5792018711632340160, 144481310070897555910, 3611955405113118024990, 90470699668284950782170
OFFSET
0,2
COMMENTS
Number of standard Young tableaux of shape [9n,n].
LINKS
Wikipedia, Young tableau
FORMULA
a(n) = C(10*n,n)*(8*n+1)/(9*n+1).
a(n) = [x^n] ((1 - sqrt(1 - 4*x))/(2*x))^(8*n+1). - Ilya Gutkovskiy, Nov 01 2017
MAPLE
a:= n-> binomial(10*n, n)*(8*n+1)/(9*n+1):
seq(a(n), n=0..20);
MATHEMATICA
Table[Binomial[10n, n] (8n+1)/(9n+1), {n, 0, 20}] (* Harvey P. Dale, Dec 19 2016 *)
CROSSREFS
Column k=9 of A214776.
Sequence in context: A012130 A151997 A119032 * A121476 A121477 A055407
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 15 2012
STATUS
approved