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 A321287 #15 Nov 03 2018 11:46:05 %S A321287 1,1,2,5,14,22,70,109,318,551,1203,2136,5752,9263,20641,37151,85084, %T A321287 144918,317356,546730,1196302,2076810,4281584,7459351,15860805, %U A321287 27146911,54715933,95712097,194059563,334322338,663159101,1147479053,2270647257,3923732160,7587368893 %N A321287 Expansion of Product_{k>=1} (1 + x^k)^tau_k(k), where tau_k(k) = number of ordered k-factorizations of k (A163767). %H A321287 Seiichi Manyama, <a href="/A321287/b321287.txt">Table of n, a(n) for n = 0..1000</a> %t A321287 tau[n_,1] = 1; tau[n_,k_]:=tau[n,k] = Plus @@ (tau[#, k-1] & /@ Divisors[n]); nmax = 40; CoefficientList[Series[Product[(1+x^k)^tau[k,k], {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Nov 03 2018, after _Robert G. Wilson v_ *) %Y A321287 Cf. A163767, A304965, A321192. %K A321287 nonn %O A321287 0,3 %A A321287 _Seiichi Manyama_, Nov 02 2018