A377693 - OEIS

%I #11 Nov 04 2024 09:08:31

%S 1,3,27,408,8814,249702,8789946,370639896,18233312640,1025931258264,

%T 65016004033944,4583861319427200,355955157532869552,

%U 30192068409536580336,2777615578746538933392,275502517287785484635520,29308962522270448504338048,3329136621436554585165282048

%N E.g.f. satisfies A(x) = (1 - log(1 - x) * A(x))^3.

%F E.g.f.: B(x)^3, where B(x) is the e.g.f. of A367158.

%F a(n) = 3 * Sum_{k=0..n} (3*k+2)!/(2*k+3)! * |Stirling1(n,k)|.

%o (PARI) a(n) = 3*sum(k=0, n, (3*k+2)!/(2*k+3)!*abs(stirling(n, k, 1)));

%Y Cf. A007840, A377692.

%Y Cf. A367158, A377446.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Nov 04 2024