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 A379287 #9 Dec 20 2024 02:48:41
%S A379287 1,2,19,268,4477,82110,1597963,32402460,677152153,14481799261,
%T A379287 315417278757,6972246638416,156017257712825,3527275634678216,
%U A379287 80447862652931941,1848737311902300600,42766087499793329349,995043161703028219128,23271045049097437148389
%N A379287 G.f. A(x) satisfies A(x) = 1/((1 - x*A(x)^2) * (1 - x*A(x)^6)).
%F A379287 a(n) = Sum_{k=0..n} binomial(2*n+5*k+1,k) * binomial(3*n+3*k,n-k)/(2*n+5*k+1).
%o A379287 (PARI) a(n) = sum(k=0, n, binomial(2*n+5*k+1, k)*binomial(3*n+3*k, n-k)/(2*n+5*k+1));
%Y A379287 Cf. A118969, A199475, A379209, A379284, A379285, A379286.
%K A379287 nonn
%O A379287 0,2
%A A379287 _Seiichi Manyama_, Dec 19 2024