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 A367317 #12 Jan 26 2024 11:10:37
%S A367317 1,1,2,5,15,50,177,649,2436,9307,36080,141610,561732,2248709,9073415,
%T A367317 36863549,150676275,619169360,2556446520,10600160707,44121921044,
%U A367317 184291848864,772204252280,3244999395406,13672564904027,57749354647408,244469827514066
%N A367317 Expansion of (1/x) * Series_Reversion( x * (1-x-x^4/(1-x)) ).
%H A367317 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A367317 a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} binomial(n+k,k) * binomial(2*n-2*k,n-4*k).
%o A367317 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x*(1-x-x^4/(1-x)))/x)
%o A367317 (PARI) a(n) = sum(k=0, n\4, binomial(n+k, k)*binomial(2*n-2*k, n-4*k))/(n+1);
%Y A367317 Cf. A001003, A054515.
%Y A367317 Cf. A063021, A367414, A367415.
%K A367317 nonn
%O A367317 0,3
%A A367317 _Seiichi Manyama_, Jan 26 2024