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 A301798 #9 Mar 31 2018 06:56:19 %S A301798 1,1,2,6,9,19,36,62,110,197,332,559,947,1548,2538,4133,6610,10536, %T A301798 16710,26191,40879,63465,97732,149852,228658,346788,523694,787503, %U A301798 1178325,1756294,2607686,3855676,5680851,8341007,12202794,17795283,25869297,37487313 %N A301798 Expansion of Product_{k>=1} (1 + x^k)^A002131(k). %H A301798 Vaclav Kotesovec, <a href="/A301798/b301798.txt">Table of n, a(n) for n = 0..1000</a> %F A301798 a(n) ~ exp(3^(4/3) * Pi^(2/3) * Zeta(3)^(1/3) * n^(2/3) / 2^(7/3) - Pi^(4/3) * n^(1/3) / (2^(8/3) * 3^(4/3) * Zeta(3)^(1/3)) - Pi^2 / (2592 * Zeta(3))) * Zeta(3)^(1/6) / (2^(7/6) * 3^(1/3) * Pi^(1/6) * n^(2/3)). %t A301798 nmax = 40; CoefficientList[Series[Exp[Sum[-(-1)^j * Sum[DivisorSum[k, # / GCD[#, 2] &] * x^(j*k) / j, {k, 1, Floor[nmax/j] + 1}], {j, 1, nmax}]], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Mar 31 2018 *) %Y A301798 Cf. A000203, A002131, A192065. %K A301798 nonn %O A301798 0,3 %A A301798 _Vaclav Kotesovec_, Mar 26 2018