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 A379254 #8 Dec 19 2024 10:09:55
%S A379254 1,6,72,1136,20496,400176,8230592,175643712,3852905472,86338960640,
%T A379254 1967950718976,45483461999616,1063433350498304,25107661327202304,
%U A379254 597766180153565184,14335020154675867648,345948883288769740800,8395511682729703931904
%N A379254 G.f. A(x) satisfies A(x) = ( (1 + x*A(x))/(1 - x*A(x)^2) )^3.
%F A379254 G.f.: B(x)^3 where B(x) is the g.f. of A379256.
%F A379254 a(n) = Sum_{k=0..n} binomial(3*n+4*k+2,k) * binomial(3*n+3*k+3,n-k)/(n+k+1).
%o A379254 (PARI) a(n) = sum(k=0, n, binomial(3*n+4*k+2, k)*binomial(3*n+3*k+3, n-k)/(n+k+1));
%Y A379254 Cf. A213282, A365843, A379255.
%Y A379254 Cf. A379256.
%K A379254 nonn
%O A379254 0,2
%A A379254 _Seiichi Manyama_, Dec 19 2024