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 A369513 #9 Jan 25 2024 07:50:59
%S A369513 1,6,59,704,9317,131534,1940819,29572146,461725783,7348829928,
%T A369513 118788308725,1944758772450,32180850839619,537370617961928,
%U A369513 9043679909643500,153238910560266234,2612067747321247779,44760267182734834916,770626480741892413249
%N A369513 Expansion of (1/x) * Series_Reversion( x * ((1-x)^3-x^2)^2 ).
%H A369513 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A369513 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/2)} binomial(2*n+k+1,k) * binomial(7*n+k+5,n-2*k).
%o A369513 (PARI) my(N=20, x='x+O('x^N)); Vec(serreverse(x*((1-x)^3-x^2)^2)/x)
%o A369513 (PARI) a(n) = sum(k=0, n\2, binomial(2*n+k+1, k)*binomial(7*n+k+5, n-2*k))/(n+1);
%Y A369513 Cf. A369512, A369514.
%K A369513 nonn
%O A369513 0,2
%A A369513 _Seiichi Manyama_, Jan 25 2024