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A357094 E.g.f. satisfies A(x)^A(x) = (1 - x * A(x))^(log(1 - x * A(x)) / 2). 1

%I

%S 1,0,1,3,20,170,1789,22869,342222,5874840,113865786,2459446440,

%T 58588151148,1526055579828,43149414029604,1316279791377810,

%U 43090904609439900,1506889769163738432,56062825134853664328,2211097753021838716116,92149286987928381312972

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

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

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

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

%Y Cf. A141209, A357095.

%Y Cf. A357036.

%K nonn

%O 0,4

%A _Seiichi Manyama_, Sep 11 2022

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Last modified January 27 21:35 EST 2023. Contains 359849 sequences. (Running on oeis4.)