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 A308670 a(n) = Sum_{d|n} d^(d*n). 4
 1, 17, 19684, 4294967553, 298023223876953126, 10314424798490535546559373642, 256923577521058878088611477224235621321608, 6277101735386680763835789423207666416120802188537744130049 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..8. FORMULA L.g.f.: -log(Product_{k>=1} (1 - (k^k*x)^k)^(1/k)) = Sum_{k>=1} a(k)*x^k/k. MATHEMATICA a[n_] := DivisorSum[n, #^(#*n) &]; Array[a, 8] (* Amiram Eldar, May 11 2021 *) PROG (PARI) {a(n) = sumdiv(n, d, d^(d*n))} (PARI) N=20; x='x+O('x^N); Vec(x*deriv(-log(prod(k=1, N, (1-(k^k*x)^k)^(1/k))))) CROSSREFS Column k=2 of A308676. Cf. A023887, A062796, A308571, A308671, A308675. Sequence in context: A191964 A230638 A308671 * A308571 A283719 A355465 Adjacent sequences: A308667 A308668 A308669 * A308671 A308672 A308673 KEYWORD nonn AUTHOR Seiichi Manyama, Jun 16 2019 STATUS approved

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Last modified April 15 14:37 EDT 2024. Contains 371689 sequences. (Running on oeis4.)