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 A321191 #10 Nov 01 2018 12:21:50 %S A321191 1,1,3,7,29,71,336,932,4593,13690,69708,222718,1163734,3902016, %T A321191 20825927,73229397,397806717,1452193925,8016518379,30328368519, %U A321191 169781766056,662143701506,3755514158949,15071604241851,86496856963200,356063096545571,2066351471542036 %N A321191 a(n) = [x^n] Product_{k>=1} 1/(1 - x^k)^tau_n(k), where tau_n(k) = number of ordered n-factorizations of k. %H A321191 Seiichi Manyama, <a href="/A321191/b321191.txt">Table of n, a(n) for n = 0..500</a> %F A321191 a(n) = [x^n] Product_{k_1>=1, k_2>=1, ..., k_n>=1} 1/(1 - x^(k_1*k_2*...*k_n)). %t A321191 tau[n_, 1] = 1; tau[n_, k_] := tau[n, k] = Plus @@ (tau[#, k-1] & /@ Divisors[n]); nmax = 30; Table[SeriesCoefficient[Product[1/(1 - x^k)^tau[k, n], {k, 1, n}], {x, 0, n}], {n, 0, nmax}] (* _Vaclav Kotesovec_, Oct 29 2018 *) %Y A321191 Cf. A000041, A006171, A077592, A174465, A280487, A321192. %K A321191 nonn %O A321191 0,3 %A A321191 _Ilya Gutkovskiy_, Oct 29 2018