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 A371744 #12 Apr 05 2024 13:06:28
%S A371744 1,5,46,469,5017,55177,617905,7008264,80241790,925457822,10735707149,
%T A371744 125128265025,1464140655619,17188834766497,202366206841241,
%U A371744 2388313959181973,28246993739096305,334711010978735163,3972765235517468758,47224110710958716845
%N A371744 a(n) = Sum_{k=0..floor(n/2)} binomial(5*n-k,n-2*k).
%F A371744 a(n) = [x^n] 1/((1-x-x^2) * (1-x)^(4*n)).
%F A371744 a(n) ~ 5^(5*n + 3/2) / (19 * sqrt(Pi*n) * 2^(8*n - 1/2)). - _Vaclav Kotesovec_, Apr 05 2024
%o A371744 (PARI) a(n) = sum(k=0, n\2, binomial(5*n-k, n-2*k));
%Y A371744 Cf. A108081, A371742, A371743.
%K A371744 nonn
%O A371744 0,2
%A A371744 _Seiichi Manyama_, Apr 05 2024