|
|
A345756
|
|
E.g.f.: Product_{k>=1} 1/(1 - (exp(x) - 1)^k)^(1/k!).
|
|
2
|
|
|
1, 1, 4, 20, 132, 1057, 10036, 110168, 1369395, 19009207, 291638340, 4898978911, 89387432140, 1760380295559, 37222139393757, 841009071062929, 20219172890524757, 515336552717107810, 13879978696592456136, 393920374851547833518, 11749388855614114735431
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
E.g.f.: exp( Sum_{k>=1} (exp((exp(x) - 1)^k) - 1)/k ).
a(n) = Sum_{k=0..n} Stirling2(n,k) * A209902(k).
|
|
PROG
|
(PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(1/prod(k=1, N, (1-(exp(x)-1)^k)^(1/k!))))
(PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=1, N, (exp((exp(x)-1)^k)-1)/k))))
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|