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 A363650 Expansion of Sum_{k>0} x^k/(1 - (k*x)^k)^3. 5
 1, 4, 7, 23, 16, 199, 29, 1445, 4420, 13271, 67, 751597, 92, 2585423, 66565486, 218693769, 154, 14527231822, 191, 399614708821, 4080186211018, 856004218103, 277, 2754664372347481, 1430511474609701, 908626846503767, 900580521111136750, 5626675967703843613, 436 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..29. FORMULA a(n) = Sum_{d|n} (n/d)^(n-n/d) * binomial(d+1,2). MATHEMATICA a[n_] := DivisorSum[n, (n/#)^(n-n/#) * Binomial[# + 1, 2] &]; Array[a, 30] (* Amiram Eldar, Jul 18 2023 *) PROG (PARI) a(n) = sumdiv(n, d, (n/d)^(n-n/d)*binomial(d+1, 2)); CROSSREFS Cf. A363647, A363651, A363652. Cf. A007437, A363642. Sequence in context: A126094 A073114 A083830 * A086968 A101824 A270238 Adjacent sequences: A363647 A363648 A363649 * A363651 A363652 A363653 KEYWORD nonn AUTHOR Seiichi Manyama, Jun 13 2023 STATUS approved

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Last modified August 3 05:17 EDT 2024. Contains 374875 sequences. (Running on oeis4.)