cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A308672 a(n) = Sum_{d|n} d^(d^3).

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%I A308672 #19 May 11 2021 01:54:21
%S A308672 1,257,7625597484988,340282366920938463463374607431768211713,
%T A308672 2350988701644575015937473074444491355637331113544175043017503412556834518909454345703126
%N A308672 a(n) = Sum_{d|n} d^(d^3).
%C A308672 The next term (a(6)) has 169 digits. - _Harvey P. Dale_, Sep 08 2020
%F A308672 L.g.f.: -log(Product_{k>=1} (1 - x^k)^(k^(k^3-1))) = Sum_{k>=1} a(k)*x^k/k.
%t A308672 Table[Total[Divisors[n]^Divisors[n]^3],{n,5}] (* _Harvey P. Dale_, Sep 08 2020 *)
%t A308672 a[n_] := DivisorSum[n, #^(#^3) &]; Array[a, 5] (* _Amiram Eldar_, May 11 2021 *)
%o A308672 (PARI) {a(n) = sumdiv(n, d, d^d^3)}
%o A308672 (PARI) N=10; x='x+O('x^N); Vec(x*deriv(-log(prod(k=1, N, (1-x^k)^(k^(k^3-1))))))
%Y A308672 Column k=3 of A308674.
%Y A308672 Cf. A000005, A062796, A308671.
%K A308672 nonn
%O A308672 1,2
%A A308672 _Seiichi Manyama_, Jun 16 2019