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A355496 Expansion of Sum_{k>=0} (k^3 * x/(1 - x))^k. 4
1, 1, 65, 19812, 16836458, 30584805344, 101712712528352, 559155681922806328, 4726278437746021089208, 58187531579876705928027712, 1000523517685151396828602120640, 23235157037192774575979788565151104, 709057406693306876515431403267191583808 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
a(n) = Sum_{k=1..n} k^(3*k) * 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-x))^k))
(PARI) a(n) = if(n==0, 1, sum(k=1, n, k^(3*k)*binomial(n-1, k-1)));
CROSSREFS
Sequence in context: A308697 A368890 A283580 * A308491 A349901 A355469
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 04 2022
STATUS
approved

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Last modified April 16 16:32 EDT 2024. Contains 371749 sequences. (Running on oeis4.)