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 A285213 #22 Apr 17 2017 05:34:29 %S A285213 1,0,0,-3,0,0,3,-7,0,-1,21,-11,0,-21,54,-15,7,-96,122,-19,74,-311,217, %T A285213 -44,351,-768,367,-209,1227,-1663,591,-989,3402,-3225,1156,-3609,8289, %U A285213 -5815,3053,-11096,18015,-10176,9466,-29593,36249,-18454,28960,-71093,68438 %N A285213 Expansion of Product_{k>=0} (1-x^(4*k+3))^(4*k+3). %H A285213 Seiichi Manyama, <a href="/A285213/b285213.txt">Table of n, a(n) for n = 0..10000</a> %F A285213 a(n) ~ (-1)^n * exp(3^(4/3) * Zeta(3)^(1/3) * n^(2/3) / 4) * Zeta(3)^(1/6) / (2^(23/24) * 3^(1/3) * sqrt(Pi) * n^(2/3)). - _Vaclav Kotesovec_, Apr 17 2017 %t A285213 nmax = 50; CoefficientList[Series[Product[(1-x^(4*k-1))^(4*k-1), {k,1,nmax}], {x,0,nmax}], x] (* _Vaclav Kotesovec_, Apr 15 2017 *) %o A285213 (PARI) x='x+O('x^100); Vec(prod(k=0, 100, (1 - x^(4*k + 3))^(4*k + 3))) \\ _Indranil Ghosh_, Apr 15 2017 %Y A285213 Product_{k>=0} (1-x^(m*k+m-1))^(m*k+m-1): A285069 (m=2), A285212 (m=3), this sequence (m=4), A285214 (m=5). %Y A285213 Cf. A285131. %K A285213 sign %O A285213 0,4 %A A285213 _Seiichi Manyama_, Apr 15 2017