A394847 - OEIS

%I #11 Apr 04 2026 08:23:40

%S 1,1,5,34,283,2729,29544,352104,4559687,63573407,947909441,

%T 15037580982,252782021044,4487786298844,83912052363380,

%U 1648445429802720,33951169908341967,731690301608252315,16471202941397846823,386668709172261717342,9451628348167374521091

%N G.f. A(x) satisfies A(x) = 1 / (1 + x/2 * d/dx log(1 - 2*x*A(x))).

%H Seiichi Manyama, <a href="/A394847/b394847.txt">Table of n, a(n) for n = 0..446</a>

%F a(0) = 1; a(n) = -2*a(n-1) + (n+5)/2 * Sum_{k=0..n-1} a(k) * a(n-1-k).

%Y Cf. A158884, A394848.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Apr 04 2026