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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.

A218690 Sum_{k=0..n} C(n,k)^4*C(n+k,k)^2.

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%I A218690 #12 Sep 12 2015 11:00:28
%S A218690 1,5,181,9797,616501,45778505,3678753205,314352091205,28154344881205,
%T A218690 2612340741982505,249415797821914681,24374175871569953225,
%U A218690 2428502737999745059381,245952659136011117909897,25260608441078125508484181,2626023605592369669830217797
%N A218690 Sum_{k=0..n} C(n,k)^4*C(n+k,k)^2.
%H A218690 Vincenzo Librandi, <a href="/A218690/b218690.txt">Table of n, a(n) for n = 0..200</a>
%H A218690 V. Kotesovec, <a href="https://oeis.org/wiki/User:Vaclav_Kotesovec">Asymptotic of generalized Apery sequences with powers of binomial coefficients</a>, Nov 04 2012
%F A218690 a(n) ~ ((1+sqrt(5))/2)^(2*(5*n+4)-3/2)/(5^(1/4)*(2*Pi*n)^(5/2)*sqrt(2)).
%t A218690 Table[Sum[Binomial[n,k]^4*Binomial[n+k,k]^2,{k,0,n}],{n,0,20}]
%Y A218690 Cf. A005258, A218692.
%K A218690 nonn
%O A218690 0,2
%A A218690 _Vaclav Kotesovec_, Nov 04 2012