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 A328851 #12 Nov 15 2021 12:35:34 %S A328851 1,3,4,11,6,19,8,34,20,29,12,78,14,39,40,104,18,107,20,120,54,59,24, %T A328851 277,47,69,88,162,30,237,32,299,82,89,84,478,38,99,96,429,42,321,44, %U A328851 246,230,119,48,921,86,258,124,288,54,535,128,581,138,149,60,1091 %N A328851 Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^(k + 1). %C A328851 Number of ways to factor n into 3 kinds of 2, 4 kinds of 3, ..., k+1 kinds of k. %C A328851 Dirichlet convolution of A001055 with A050367. %H A328851 Antti Karttunen, <a href="/A328851/b328851.txt">Table of n, a(n) for n = 1..4096</a> %F A328851 a(n) = Sum_{d|n} A001055(n/d) * A050367(d). %o A328851 (PARI) seq(n)={my(v=vector(n, k, k==1)); for(k=2, n, my(m=logint(n,k), p=1/(1 - x + O(x*x^m))^(1+k), w=vector(n)); for(i=0, m, w[k^i]=polcoef(p,i)); v=dirmul(v,w)); v} \\ _Andrew Howroyd_, Oct 28 2019 %Y A328851 Cf. A001055, A050367, A328853. %K A328851 nonn %O A328851 1,2 %A A328851 _Ilya Gutkovskiy_, Oct 28 2019