|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Number of standard Young tableaux of shape [9n,n].
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|