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 A207653 #15 Feb 07 2020 13:38:22
%S A207653 1,1,4,16,77,460,3287,27561,265307,2880875,34821316,463543454,
%T A207653 6737545832,106158368798,1802204594518,32793160634292,636683459975767,
%U A207653 13137118248246982,287070448575006268,6622644707103106925,160846900060253917905,4102379491083664461080
%N A207653 G.f.: Sum_{n>=0} Product_{k=1..n} (1 - (1-x)^(2*k-1))/(1 - x^(2*k-1)).
%H A207653 Vaclav Kotesovec, <a href="/A207653/b207653.txt">Table of n, a(n) for n = 0..200</a>
%H A207653 Hsien-Kuei Hwang, Emma Yu Jin, <a href="https://arxiv.org/abs/1911.06690">Asymptotics and statistics on Fishburn matrices and their generalizations</a>, arXiv:1911.06690 [math.CO], 2019.
%F A207653 From _Vaclav Kotesovec_, Oct 31 2014: (Start)
%F A207653 a(n) ~ 6*sqrt(2) * exp(Pi^2/24) * 12^n * n! / Pi^(2*n+2).
%F A207653 a(n) ~ exp(Pi^2/24) * 12^(n+1) * n^(n+1/2) / (exp(n) * Pi^(2*n+3/2)).
%F A207653 (End)
%e A207653 G.f.: A(x) = 1 + x + 4*x^2 + 16*x^3 + 77*x^4 + 460*x^5 + 3287*x^6 +...
%e A207653 such that, by definition,
%e A207653 A(x) = 1 + (1-(1-x))/(1-x) + (1-(1-x))*(1-(1-x)^3)/((1-x)*(1-x^3)) + (1-(1-x))*(1-(1-x)^3)*(1-(1-x)^5)/((1-x)*(1-x^3)*(1-x^5)) +...
%o A207653 (PARI) {a(n)=polcoeff(sum(m=0,n,prod(k=1,m,(1-(1-x)^(2*k-1))/(1-x^(2*k-1) +x*O(x^n)) )),n)}
%o A207653 for(n=0,40,print1(a(n),", "))
%Y A207653 Cf. A207651, A207652, A207654.
%K A207653 nonn
%O A207653 0,3
%A A207653 _Paul D. Hanna_, Feb 19 2012