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 A369216 #10 Jan 16 2024 08:33:01
%S A369216 1,5,44,479,5827,75887,1034980,14593794,211031650,3112385177,
%T A369216 46636714566,707983562624,10865572966703,168306274609798,
%U A369216 2627854427929448,41314461126179272,653481096161664690,10391753978329136808,166040704868503173384
%N A369216 Expansion of (1/x) * Series_Reversion( x * ((1-x)^4-x) ).
%H A369216 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A369216 a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(n+k,k) * binomial(5*n+3*k+3,n-k).
%o A369216 (PARI) my(N=20, x='x+O('x^N)); Vec(serreverse(x*((1-x)^4-x))/x)
%o A369216 (PARI) a(n) = sum(k=0, n, binomial(n+k, k)*binomial(5*n+3*k+3, n-k))/(n+1);
%Y A369216 Cf. A151374, A249924, A369215.
%Y A369216 Cf. A369102.
%K A369216 nonn
%O A369216 0,2
%A A369216 _Seiichi Manyama_, Jan 16 2024