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.
%I A382513 #4 Apr 04 2025 22:44:56
%S A382513 0,2,3,4,5,17,7,16,27,57,11,145,13,177,368,256,17,1241,19,1649,2530,
%T A382513 2169,23,10657,3125,8361,19683,18785,29,107442,31,65536,178478,131361,
%U A382513 94932,793585,37,524649,1596520,1439201,41,6997770,43,4208945,16302032
%N A382513 Expansion of Sum_{p prime} p * x^p / (1 - p * x^p).
%F A382513 a(n) = Sum_{p|n, p prime} p^(n/p).
%t A382513 nmax = 45; CoefficientList[Series[Sum[Prime[k] x^Prime[k]/(1 - Prime[k] x^Prime[k]), {k, 1, nmax}], {x, 0, nmax}], x] // Rest
%Y A382513 Cf. A008472, A055225, A069359, A373458, A373459.
%K A382513 nonn
%O A382513 1,2
%A A382513 _Ilya Gutkovskiy_, Mar 30 2025