|
|
A215553
|
|
a(n) = binomial(9*n,n)*(7*n+1)/(8*n+1).
|
|
2
|
|
|
1, 8, 135, 2574, 51765, 1072764, 22664655, 485325150, 10495906641, 228723580800, 5014392953273, 110471247622008, 2443644577217025, 54238301397083592, 1207358254510786125, 26943600312354592800, 602594302548520646793, 13502992968597378745800
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
Number of standard Young tableaux of shape [8n,n].
|
|
LINKS
|
|
|
FORMULA
|
a(n) = C(9*n,n)*(7*n+1)/(8*n+1).
a(n) = [x^n] ((1 - sqrt(1 - 4*x))/(2*x))^(7*n+1). - Ilya Gutkovskiy, Nov 01 2017
|
|
MAPLE
|
a:= n-> binomial(9*n, n)*(7*n+1)/(8*n+1):
seq(a(n), n=0..20);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|