|
| |
|
|
A373541
|
|
Expansion of e.g.f. exp(x/(1 + x^4)).
|
|
0
|
|
|
|
1, 1, 1, 1, 1, -119, -719, -2519, -6719, 347761, 5412961, 39861361, 199488961, -5448797639, -171814122479, -2172192782759, -17416977701759, 251989368889441, 15508068901698241, 302085533813309281, 3540741711640110721, -21311122660066333079
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,6
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(n) = n! * Sum_{k=0..floor(n/4)} (-1)^k * binomial(n-3*k-1,k)/(n-4*k)!.
a(n) == 1 mod 120.
|
|
|
PROG
|
(PARI) a(n) = n!*sum(k=0, n\4, (-1)^k*binomial(n-3*k-1, k)/(n-4*k)!);
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
sign
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
