A367200 - OEIS

%I #12 Nov 10 2023 08:18:49

%S 1,1,10,201,6216,261300,13923762,899679144,68368215528,5975493315264,

%T 590584798045440,65132133511182408,7929604511136220536,

%U 1056369806709005923992,152854816585283562807288,23873492748049623945947160,4002988479012229417182249408

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

%F a(n) = Sum_{k=0..n} (n+3*k+1)^(k-1) * |Stirling1(n,k)|.

%o (PARI) a(n) = sum(k=0, n, (n+3*k+1)^(k-1)*abs(stirling(n, k, 1)));

%Y Cf. A264408, A367160.

%Y Cf. A349556, A355766.

%Y Cf. A367199, A367201.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Nov 10 2023