|
|
A365912
|
|
Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+3) / (5*k+3)! ).
|
|
3
|
|
|
1, 0, 0, 1, 0, 0, 20, 0, 1, 1680, 0, 330, 369600, 1, 180180, 168168000, 13990, 163363200, 137225088001, 39041010, 232792560000, 182509367449640, 118574979600, 494730748512001, 369398970833730090, 451334037000000, 1500683270499930350, 1080492079984609149000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,7
|
|
LINKS
|
|
|
FORMULA
|
a(0) = 1; a(n) = Sum_{k=0..floor((n-3)/5)} binomial(n,5*k+3) * a(n-5*k-3).
|
|
PROG
|
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\5, x^(5*k+3)/(5*k+3)!))))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|