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.

A038070 Product_{k>=1} (1+x^k)^a(k) = 1 + 5x.

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%I A038070 #26 Apr 13 2025 07:23:13
%S A038070 5,-10,40,-160,624,-2580,11160,-48910,217000,-976248,4438920,
%T A038070 -20346280,93900240,-435959820,2034504992,-9536767660,44878791360,
%U A038070 -211927516500,1003867701480,-4768372069968,22706531339280,-108372079190340,518301258916440,-2483526875798780
%N A038070 Product_{k>=1} (1+x^k)^a(k) = 1 + 5x.
%H A038070 Seiichi Manyama, <a href="/A038070/b038070.txt">Table of n, a(n) for n = 1..1000</a>
%H A038070 Christian G. Bower, <a href="https://oeis.org/transforms_pari.txt">PARI programs for transforms</a>, 2007.
%H A038070 N. J. A. Sloane, <a href="/transforms.txt">Maple programs for transforms</a>, 2001-2020.
%F A038070 Dirichlet convolution of A038066 with characteristic function of powers of 2.
%F A038070 a(n) = (1/n) * (-(-5)^n + Sum_{d<n and d|n} (-1)^(n/d) * d * a(d)). - _Seiichi Manyama_, Jun 23 2018
%Y A038070 Cf. A038063, A038064, A038065, A038066, A038067, A038068, A038069, A306159.
%K A038070 sign
%O A038070 1,1
%A A038070 _Christian G. Bower_, Jan 04 1999