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 A328877 #6 Oct 29 2019 12:15:20
%S A328877 1,1,2,3,4,7,6,10,9,13,10,22,12,19,22,25,16,36,18,40,32,31,22,69,30,
%T A328877 37,42,58,28,89,30,70,52,49,58,121,36,55,62,125,40,129,42,94,108,67,
%U A328877 46,203,63,115,82,112,52,174,94,181,92,85,58,319,60,91,156,182
%N A328877 Dirichlet g.f.: Product_{k>=2} (1 + k^(-s))^(k - 1).
%C A328877 Number of ways to factor n into distinct factors with 1 kind of 2, 2 kinds of 3, ..., k-1 kinds of k.
%C A328877 Dirichlet convolution of A050368 with A316441.
%F A328877 a(n) = Sum_{d|n} A050368(n/d) * A316441(d).
%o A328877 (PARI) seq(n)={my(v=vector(n, k, k==1)); for(k=2, n, my(m=logint(n, k), p=(1 + x + O(x*x^m))^(k-1), w=vector(n)); for(i=0, m, w[k^i]=polcoef(p, i)); v=dirmul(v, w)); v} \\ _Andrew Howroyd_, Oct 29 2019
%Y A328877 Cf. A050368, A316441, A328853, A328876.
%K A328877 nonn
%O A328877 1,3
%A A328877 _Ilya Gutkovskiy_, Oct 29 2019