|
|
A365848
|
|
Expansion of (1/x) * Series_Reversion( x*(1-x)^5/(1+x)^4 ).
|
|
2
|
|
|
1, 9, 122, 1965, 34814, 655290, 12861708, 260312853, 5393696150, 113847928558, 2439377254412, 52919446267698, 1160040801590332, 25655668799151700, 571760925292574640, 12827392114274902629, 289470689505615716070, 6566330844138035042982
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(5*n+k+4,k) * binomial(4*(n+1),n-k).
|
|
PROG
|
(PARI) a(n) = sum(k=0, n, binomial(5*n+k+4, k)*binomial(4*(n+1), n-k))/(n+1);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|