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 A278680 #18 Nov 10 2017 05:19:25
%S A278680 1,4,14,40,105,251,570,1226,2540,5075,9855,18630,34439,62340,110805,
%T A278680 193624,333235,565415,947040,1567130,2564425,4152535,6658711,10579380,
%U A278680 16663755,26033200,40357641,62106290,94912385,144088840,217368655,325945320,485950150,720515475
%N A278680 Expansion of Product_{n>=1} (1 - x^(5*n))/(1 - x^n)^4 in powers of x.
%H A278680 Seiichi Manyama, <a href="/A278680/b278680.txt">Table of n, a(n) for n = 0..1000</a>
%F A278680 G.f.: Product_{n>=1} (1 - x^(5*n))/(1 - x^n)^4.
%F A278680 a(n) ~ 19 * exp(Pi*sqrt(38*n/15)) / (120 * sqrt(10) * n^(3/2)). - _Vaclav Kotesovec_, Nov 10 2017
%e A278680 G.f.: 1 + 4*x + 14*x^2 + 40*x^3 + 105*x^4 + 251*x^5 + 570*x^6 + ...
%t A278680 nmax = 30; CoefficientList[Series[Product[(1 - x^(5*k))/(1 - x^k)^4, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Nov 10 2017 *)
%Y A278680 Cf. Product_{n>=1} (1 - x^(5*n))/(1 - x^n)^k: A035959 (k=1), A160461 (k=2), A278668 (k=3), this sequence (k=4), A277212 (k=5), A182821 (k=6).
%K A278680 nonn
%O A278680 0,2
%A A278680 _Seiichi Manyama_, Nov 25 2016