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 A321192 #9 Nov 01 2018 12:21:56 %S A321192 1,1,2,6,20,55,239,700,3212,10104,48622,161579,806843,2799199, %T A321192 14379647,52018828,273472712,1023655306,5491615463,21234676241, %U A321192 115910309103,460998296937,2556361045845,10440651927427,58714921974979,245586789818255,1399187406060485 %N A321192 a(n) = [x^n] Product_{k>=1} (1 + x^k)^tau_n(k), where tau_n(k) = number of ordered n-factorizations of k. %H A321192 Seiichi Manyama, <a href="/A321192/b321192.txt">Table of n, a(n) for n = 0..500</a> %F A321192 a(n) = [x^n] Product_{k_1>=1, k_2>=1, ..., k_n>=1} (1 + x^(k_1*k_2*...*k_n)). %t A321192 tau[n_, 1] = 1; tau[n_, k_] := tau[n, k] = Plus @@ (tau[#, k-1] & /@ Divisors[n]); nmax = 30; Table[SeriesCoefficient[Product[(1 + x^k)^tau[k, n], {k, 1, n}], {x, 0, n}], {n, 0, nmax}] (* _Vaclav Kotesovec_, Oct 29 2018 *) %Y A321192 Cf. A000009, A077592, A107742, A280473, A280486, A321191. %K A321192 nonn %O A321192 0,3 %A A321192 _Ilya Gutkovskiy_, Oct 29 2018