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 A285242 #9 Aug 28 2018 13:06:25 %S A285242 1,1,0,0,4,4,0,0,4,13,9,0,0,36,36,0,16,52,63,27,64,64,108,108,64,233, %T A285242 277,135,27,676,676,108,204,772,1333,765,528,420,2628,2628,528,1792, %U A285242 3892,3735,1251,5524,5380,4428,4684,6657,12843,10870,6703,3767,28232 %N A285242 Expansion of Product_{k>=1} (1 + k*x^(k^2))^k. %H A285242 Vaclav Kotesovec, <a href="/A285242/b285242.txt">Table of n, a(n) for n = 0..10000</a> %t A285242 nmax = 100; CoefficientList[Series[Product[(1 + k*x^(k^2))^k, {k,1,nmax}], {x,0,nmax}], x] %t A285242 nmax = 100; s = 1 + x; Do[s *= Sum[Binomial[k, j]*k^j*x^(j*k^2), {j, 0, Floor[nmax/k^2] + 1}]; s = Select[Expand[s], Exponent[#, x] <= nmax &];, {k, 2, nmax}]; CoefficientList[s, x] %Y A285242 Cf. A022629, A266891, A281790, A285240, A285243, A285244. %K A285242 nonn %O A285242 0,5 %A A285242 _Vaclav Kotesovec_, Apr 15 2017