A394845 - OEIS

%I #11 Apr 04 2026 08:27:00

%S 1,1,-1,-2,1,5,12,48,245,1523,11195,94386,895924,9443452,109355276,

%T 1379316576,18815818845,275948260895,4328795250501,72315318795090,

%U 1281585812804169,24013020062918277,474262523193016548,9846736220736305136,214393809037175108556

%N G.f. A(x) satisfies A(x) = 1 / (1 - x/4 * d/dx log(1 + 4*x*A(x))).

%H Seiichi Manyama, <a href="/A394845/b394845.txt">Table of n, a(n) for n = 0..452</a>

%F a(0) = 1; a(n) = 4*a(n-1) + (n-7)/2 * Sum_{k=0..n-1} a(k) * a(n-1-k).

%Y Cf. A075834, A394843, A394844, A394846.

%Y Cf. A111531.

%K sign

%O 0,4

%A _Seiichi Manyama_, Apr 04 2026