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 A301549 #14 Oct 26 2018 16:53:28 %S A301549 1,1,33,277,1829,12763,89213,584741,3704421,22964742,139315315, %T A301549 826585083,4807922574,27476514016,154490531418,855490577052, %U A301549 4670177536402,25157218161854,133831334223869,703601883107626,3658023094714380,18817745119097343,95833879532504638 %N A301549 Expansion of Product_{k>=1} (1 + x^k)^(sigma_5(k)). %H A301549 Seiichi Manyama, <a href="/A301549/b301549.txt">Table of n, a(n) for n = 0..2000</a> %F A301549 a(n) ~ exp(7 * Pi^(6/7) * Zeta(7)^(1/7) * n^(6/7) / (2^(9/7) * 3^(6/7))) * (3*Zeta(7)/Pi)^(1/14) / (2^(323/504) * sqrt(7) * n^(4/7)). %F A301549 G.f.: exp(Sum_{k>=1} sigma_6(k)*x^k/(k*(1 - x^(2*k)))). - _Ilya Gutkovskiy_, Oct 26 2018 %t A301549 nmax = 30; CoefficientList[Series[Product[(1+x^k)^DivisorSigma[5, k], {k, 1, nmax}], {x, 0, nmax}], x] %o A301549 (PARI) x='x+O('x^99); Vec(prod(i=1, 99, (1+x^i)^sigma(i, 5))) \\ _Altug Alkan_, Mar 26 2018 %Y A301549 Cf. A001160, A107742, A301543. %K A301549 nonn %O A301549 0,3 %A A301549 _Vaclav Kotesovec_, Mar 23 2018