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 A305321 #22 Jun 03 2018 05:41:30 %S A305321 1,1,0,1,2,1,1,3,3,2,3,4,5,6,6,8,9,8,12,15,14,17,21,20,24,31,30,34,42, %T A305321 41,46,59,63,67,76,83,94,104,112,131,144,144,170,198,201,226,261,268, %U A305321 291,337,361,392,437,465,511,567,607,673,736,775,861,946,1000 %N A305321 Expansion of Product_{k>=1} (1 + x^sigma(k)). %H A305321 Vaclav Kotesovec, <a href="/A305321/b305321.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from Seiichi Manyama) %p A305321 with(numtheory): %p A305321 seq(coeff(series(mul(1+x^sigma(k),k=1..n), x,80),x,n),n=0..70); # _Muniru A Asiru_, May 31 2018 %t A305321 nmax = 100; CoefficientList[Series[Product[1 + x^DivisorSigma[1, k], {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Jun 03 2018 *) %o A305321 (PARI) N=99; x='x+O('x^N); Vec(prod(k=1, N, 1+x^sigma(k))) %Y A305321 Cf. A000203, A111865, A305320. %K A305321 nonn %O A305321 0,5 %A A305321 _Seiichi Manyama_, May 30 2018