|
| |
|
|
A361493
|
|
Expansion of e.g.f. exp(exp(x) - 1 + x^3).
|
|
0
|
|
|
|
1, 1, 2, 11, 39, 172, 1163, 6547, 41772, 335139, 2486215, 20078610, 186139957, 1676540257, 16077206122, 168739976555, 1763716943267, 19358116589964, 226362412711759, 2669223655597955, 32748447519013132, 421204995451111971, 5496921281576148363
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,3
|
|
|
LINKS
|
|
|
|
FORMULA
|
a(0) = a(1) = 1, a(2) = 2; a(n) = 6 * binomial(n-1,2) * a(n-3) + Sum_{k=1..n} binomial(n-1,k-1) * a(n-k).
|
|
|
PROG
|
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(exp(x)-1+x^3)))
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
