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 A294757 Expansion of Product_{k>=1} 1/(1 - k^k*x^k)^(k^k). 4
 1, 1, 17, 746, 66442, 9843731, 2187951485, 680615166718, 282199710311343, 150389915850565698, 100155578811552469018, 81505577529171038120173, 79580089696277797740768316, 91814299717377746850767747558 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = g(n) = n^n. LINKS Seiichi Manyama, Table of n, a(n) for n = 0..214 FORMULA a(0) = 1 and a(n) = (1/n) * Sum_{k=1..n} A294773(k)*a(n-k) for n > 0. a(n) ~ n^(2*n). - Vaclav Kotesovec, Nov 08 2017 PROG (PARI) N=20; x='x+O('x^N); Vec(1/prod(k=1, N, (1-k^k*x^k)^k^k)) (PARI) sd(n) = sumdiv(n, d, d^(d+n+1)); a(n) = if (n==0, 1, sum(k=1, n, sd(k)*a(n-k))/n); \\ Michel Marcus, Nov 10 2017 CROSSREFS Column k=1 of A294756. Cf. A294704, A294773. Sequence in context: A218423 A171766 A283579 * A176233 A360647 A355495 Adjacent sequences: A294754 A294755 A294756 * A294758 A294759 A294760 KEYWORD nonn AUTHOR Seiichi Manyama, Nov 08 2017 STATUS approved

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Last modified April 18 03:01 EDT 2024. Contains 371767 sequences. (Running on oeis4.)