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 A381942 #11 Mar 11 2025 08:00:14
%S A381942 1,4,14,96,905,9550,107552,1265372,15364920,191090255,2421646300,
%T A381942 31157939594,405932855044,5344301858465,70990458721140,
%U A381942 950263442420120,12805328720666376,173574888045493536,2365049262321662145,32374714068988416170,445017678283209218750,6140131349497715896244
%N A381942 G.f. A(x) satisfies A(x) = (1 + x)^3 * B(x*A(x)), where B(x) is the g.f. of A002293.
%F A381942 a(n) = Sum_{k=0..n} binomial(5*k+1,k) * binomial(3*k+3,n-k)/(5*k+1).
%o A381942 (PARI) a(n) = sum(k=0, n, binomial(5*k+1, k)*binomial(3*k+3, n-k)/(5*k+1));
%Y A381942 Cf. A366695, A381860, A381939.
%Y A381942 Cf. A002293.
%K A381942 nonn
%O A381942 0,2
%A A381942 _Seiichi Manyama_, Mar 10 2025