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 A371436 #9 Mar 23 2024 11:08:24
%S A371436 1,3,12,49,179,441,-860,-23634,-229246,-1705649,-10757370,-57800600,
%T A371436 -246084657,-551185526,3612960360,66196180728,641858169138,
%U A371436 4911870929096,31792139997384,172691510260794,711428107177975,1066704835555530,-18659356513414560
%N A371436 Expansion of (1/x) * Series_Reversion( x * ((1-x)^4 + x) ).
%H A371436 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A371436 a(n) = (1/(n+1)) * Sum_{k=0..n} (-1)^k * binomial(n+k,k) * binomial(5*n+3*k+3,n-k).
%o A371436 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x*((1-x)^4+x))/x)
%o A371436 (PARI) a(n) = sum(k=0, n, (-1)^k*binomial(n+k, k)*binomial(5*n+3*k+3, n-k))/(n+1);
%Y A371436 Cf. A369124, A369216.
%K A371436 sign
%O A371436 0,2
%A A371436 _Seiichi Manyama_, Mar 23 2024