A366980 - OEIS

%I #40 Nov 01 2023 17:16:40

%S 1,1,4,24,171,1336,11060,95298,845649,7675398,70921457,664905445,

%T 6309060313,60473691666,584684295383,5695312881404,55839455579659,

%U 550621231581791,5457218248143692,54332533436452743,543148496962279730,5449742750024662824

%N G.f. satisfies A(x) = 1 + x*A(x)^5 * (1 - x*A(x)).

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

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

%Y Cf. A000108, A200754.

%Y Cf. A365185, A367017.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Nov 01 2023