A355768 - OEIS

%I #13 Jul 16 2022 11:50:26

%S 1,1,-2,6,-28,260,-3948,71120,-1392368,29971008,-724981920,

%T 19800726528,-603571233120,20210951379840,-734663902256256,

%U 28785160833254400,-1210241780559067392,54390280325210271744,-2602745536670709682176,132118736078618372579328

%N E.g.f. satisfies A(x)^(A(x)^2) = 1 + x*A(x).

%F a(n) = Sum_{k=0..n} (n-2*k+1)^(k-1) * Stirling1(n,k).

%o (PARI) a(n) = sum(k=0, n, (n-2*k+1)^(k-1)*stirling(n, k, 1));

%Y Cf. A000142, A349587.

%Y Cf. A162656, A349650, A355767.

%K sign

%O 0,3

%A _Seiichi Manyama_, Jul 16 2022