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 A359186 #18 Aug 27 2023 17:03:18 %S A359186 1,9,49,265,1281,6201,28673,131337,589873,2622729,11534337,50338105, %T A359186 218103809,939552777,4026533169,17180000521,73014444033,309238241337, %U A359186 1305670057985,5497560761865,23089744212017,96757034778633,404620279021569,1688849910733113 %N A359186 a(n) = Sum_{d|n} d * 4^(d-1). %F A359186 G.f.: Sum_{k>=1} x^k/(1 - 4 * x^k)^2. %t A359186 a[n_] := DivisorSum[n, 4^(#-1)*# &]; Array[a, 24] (* _Amiram Eldar_, Aug 27 2023 *) %o A359186 (PARI) a(n) = sumdiv(n, d, d*4^(d-1)); %o A359186 (PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=1, N, x^k/(1-4*x^k)^2)) %Y A359186 Cf. A002129, A083413, A359018. %Y A359186 Cf. A167531, A339684, A359190. %K A359186 nonn,easy %O A359186 1,2 %A A359186 _Seiichi Manyama_, Dec 19 2022