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 A359796 #12 Aug 14 2023 02:00:29 %S A359796 1,5,37,517,10001,248873,7529537,268435973,11019960613,512000010005, %T A359796 26559922791425,1521681143418409,95428956661682177, %U A359796 6502111422505477189,478296900000000010037,37778931862957430145541,3189059870763703892770817 %N A359796 a(n) = Sum_{d|n} (2*d)^(d-1). %F A359796 G.f.: Sum_{k>0} (2 * k)^(k-1) * x^k / (1 - x^k). %t A359796 a[n_] := DivisorSum[n, (2*#)^(# - 1) &]; Array[a, 20] (* _Amiram Eldar_, Aug 14 2023 *) %o A359796 (PARI) a(n) = sumdiv(n, d, (2*d)^(d-1)); %o A359796 (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=1, N, (2*k)^(k-1)*x^k/(1-x^k))) %Y A359796 Cf. A262843, A359731. %K A359796 nonn,easy %O A359796 1,2 %A A359796 _Seiichi Manyama_, Jan 13 2023