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 A370844 #11 Mar 03 2024 10:34:18
%S A370844 1,5,35,295,2760,27556,287564,3098780,34216020,385106280,4401850866,
%T A370844 50957904938,596231618166,7039674475190,83767631913840,
%U A370844 1003564049999916,12094813260406732,146534778450346908,1783695235540931924,21803615393276536720,267537602528379374851
%N A370844 Expansion of (1/x) * Series_Reversion( x / (1/(1-x)^4 + x) ).
%H A370844 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370844 a(n) = Sum_{k=0..n} binomial(n,k) * A118971(k).
%F A370844 a(n) = hypergeom([4/5, 6/5, 7/5, 8/5, -n], [5/4, 3/2, 7/4, 2], -3125/256). - _Stefano Spezia_, Mar 03 2024
%o A370844 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x/(1/(1-x)^4+x))/x)
%o A370844 (PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(5*k+3, k)/(k+1));
%Y A370844 Cf. A007317, A369616, A369617.
%Y A370844 Cf. A118971.
%K A370844 nonn
%O A370844 0,2
%A A370844 _Seiichi Manyama_, Mar 03 2024