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 A298985 a(n) = [x^n] Product_{k>=1} 1/(1 - n*x^k)^k. 5
 1, 1, 8, 54, 496, 5400, 73728, 1204322, 23167808, 512093178, 12781430600, 355128859129, 10863077554224, 362572265689777, 13107541496092960, 510105773344747725, 21258690342206888192, 944467894258279964254, 44555341678790400325512, 2224158766859058600584834, 117123916650423288611260400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..380 FORMULA a(n) ~ n^n. - Vaclav Kotesovec, Feb 02 2018 MAPLE b:= proc(n, i, k) option remember;   `if`(n=0, 1, `if`(i<1, 0,       add(binomial(i+j-1, j)*b(n-i*j, i-1, k)*k^j, j=0..n/i)))     end: a:= n-> b(n\$3): seq(a(n), n=0..30);  # Alois P. Heinz, Sep 23 2018 MATHEMATICA Table[SeriesCoefficient[Product[1/(1 - n x^k)^k, {k, 1, n}], {x, 0, n}], {n, 0, 20}] CROSSREFS Cf. A000219, A124577, A261561, A261565, A266941, A297329, A298986, A298987, A298988. Sequence in context: A263885 A002775 A079754 * A142703 A138403 A013499 Adjacent sequences:  A298982 A298983 A298984 * A298986 A298987 A298988 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Jan 31 2018 STATUS approved

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Last modified December 9 03:27 EST 2019. Contains 329872 sequences. (Running on oeis4.)