A371299 - OEIS

%I #9 Mar 18 2024 09:52:18

%S 1,1,8,128,3128,103464,4327376,219132416,13037220864,891482661120,

%T 68898795919872,5939542370104320,565085390314014720,

%U 58814874313859198976,6647869870080852418560,810941992663677532667904,106188636284967568536207360,14856670240947944840012857344

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

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

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

%Y Cf. A227917, A370938.

%Y Cf. A371297.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Mar 18 2024