|
|
A357192
|
|
a(n) = n! * Sum_{k=0..floor(n/3)} k^n/k!.
|
|
2
|
|
|
1, 0, 0, 6, 24, 120, 23760, 327600, 5201280, 1283688000, 37574409600, 1219438281600, 378254710310400, 19092171351052800, 1045282110435763200, 394211859168070944000, 30499777423295212032000, 2523689643597315088896000, 1125362204955051396299366400
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
LINKS
|
|
|
FORMULA
|
E.g.f.: Sum_{k>=0} (k * x)^(3 * k) / (k! * (1 - k * x)).
|
|
PROG
|
(PARI) a(n) = n!*sum(k=0, n\3, k^n/k!);
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (k*x)^(3*k)/(k!*(1-k*x)))))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|