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 A379160 #10 Dec 17 2024 08:44:49
%S A379160 1,1,3,12,56,277,1449,7872,43978,251049,1457910,8585724,51152973,
%T A379160 307770236,1867362978,11412645576,70194232585,434157164246,
%U A379160 2698676669337,16849393604484,105621663128839,664493496025485,4194246946152171,26553277765995984,168567628890184974,1072818569798746567
%N A379160 G.f. A(x) satisfies A(x) = (1 + x^4) * (1 + x*A(x)^3).
%F A379160 a(n) = Sum_{k=0..floor(n/4)} binomial(3*n-12*k+1,k) * binomial(3*n-12*k+1,n-4*k)/(3*n-12*k+1).
%o A379160 (PARI) a(n) = sum(k=0, n\4, binomial(3*n-12*k+1, k)*binomial(3*n-12*k+1, n-4*k)/(3*n-12*k+1));
%Y A379160 Cf. A200725, A364336, A379159.
%Y A379160 Cf. A364330.
%K A379160 nonn
%O A379160 0,3
%A A379160 _Seiichi Manyama_, Dec 17 2024