A380427 E.g.f. A(x) satisfies A(x) = exp( -x/A(x) * exp(x/A(x)) ).

1, -1, -3, -19, -211, -3301, -66581, -1643587, -47986247, -1617313033, -61796668969, -2639583958111, -124635062782187, -6446216079166189, -362427406400015165, -22008570202561166491, -1435560535563493528591, -100100185675457848764433, -7430481272601559979203409

Offset: 0

Author

Seiichi Manyama, Jan 24 2025

Keywords

• sign

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..360

Crossrefs

Cf. A162695, A380425, A380426.

Cf. A357247.

Formula

E.g.f.: 1/B(x), where B(x) is the e.g.f. of A162695.

a(n) = -Sum_{k=1..n} k^(n-k) * (n-1)^(k-1) * binomial(n,k) for n > 0.