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 A369514 #8 Jan 25 2024 07:51:07
%S A369514 1,6,57,652,8250,111228,1566384,22770990,339136149,5147965790,
%T A369514 79355002155,1238845925070,19546811164017,311215082863152,
%U A369514 4993737492276384,80673666233512572,1311052196736963738,21418709030787603984,351563022864652061086,5794815410347964694408
%N A369514 Expansion of (1/x) * Series_Reversion( x * ((1-x)^3-x^3)^2 ).
%H A369514 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A369514 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/3)} binomial(2*n+k+1,k) * binomial(7*n+5,n-3*k).
%o A369514 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x*((1-x)^3-x^3)^2)/x)
%o A369514 (PARI) a(n) = sum(k=0, n\3, binomial(2*n+k+1, k)*binomial(7*n+5, n-3*k))/(n+1);
%Y A369514 Cf. A369114.
%K A369514 nonn
%O A369514 0,2
%A A369514 _Seiichi Manyama_, Jan 25 2024