A366595 - OEIS

%I #12 Oct 14 2023 13:19:45

%S 1,0,0,0,1,3,3,1,4,24,60,80,82,222,796,1848,2912,4452,11088,31592,

%T 70467,125437,231105,551775,1399069,3068219,5942937,12017739,27966515,

%U 66675777,145719483,298344501,632955999,1449806573,3346606719,7335193353,15557399668

%N G.f. A(x) satisfies A(x) = 1 + x^4*(1+x)^3*A(x)^4.

%F a(n) = Sum_{k=0..floor(n/4)} binomial(3*k,n-4*k) * binomial(4*k,k)/(3*k+1).

%o (PARI) a(n) = sum(k=0, n\4, binomial(3*k, n-4*k)*binomial(4*k, k)/(3*k+1));

%Y Cf. A366272, A366593, A366594.

%Y Cf. A366589, A366592.

%Y Cf. A366558.

%K nonn

%O 0,6

%A _Seiichi Manyama_, Oct 14 2023