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 A360794 #15 Jul 31 2023 02:25:05
%S A360794 1,3,4,11,6,43,8,109,100,281,12,1507,14,1863,3376,6937,18,26245,20,
%T A360794 53211,63022,67739,24,572413,78776,372945,1087048,1761719,30,7362871,
%U A360794 32,9947953,16897486,10027349,8011116,123101515,38,49807779,241823440,361722421,42
%N A360794 Expansion of Sum_{k>0} x^k / (1 - k * x^k)^(k+1).
%F A360794 a(n) = Sum_{d|n} d^(n/d-1) * binomial(d+n/d-1,d).
%F A360794 If p is prime, a(p) = 1 + p.
%t A360794 a[n_] := DivisorSum[n, #^(n/# - 1) * Binomial[# + n/# - 1, #] &]; Array[a, 40] (* _Amiram Eldar_, Jul 31 2023 *)
%o A360794 (PARI) my(N=50, x='x+O('x^N)); Vec(sum(k=1, N, x^k/(1-k*x^k)^(k+1)))
%o A360794 (PARI) a(n) = sumdiv(n, d, d^(n/d-1)*binomial(d+n/d-1, d));
%Y A360794 Cf. A360782, A360783.
%Y A360794 Cf. A081543, A324158.
%K A360794 nonn
%O A360794 1,2
%A A360794 _Seiichi Manyama_, Feb 21 2023