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A355469
Expansion of Sum_{k>=0} (k^3 * x/(1 - k^3 * x))^k.
2
1, 1, 65, 20708, 18383828, 34898769936, 121324513279512, 697408243146701056, 6165037130760825320768, 79390334273383043609851520, 1428007543233019703635181454080, 34693490969752778534655707874499584, 1107666867764009444258160579726602423808
OFFSET
0,3
LINKS
FORMULA
a(n) = Sum_{k=1..n} k^(3*n) * binomial(n-1,k-1) for n > 0.
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, (k^3*x/(1-k^3*x))^k))
(PARI) a(n) = if(n==0, 1, sum(k=1, n, k^(3*n)*binomial(n-1, k-1)));
CROSSREFS
Sequence in context: A355496 A308491 A349901 * A084225 A278550 A177652
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 03 2022
STATUS
approved