A360446 Expansion of e.g.f. 1/(1 - log(1 + log(1+x))).

1, 1, 0, 1, -3, 18, -128, 1132, -11812, 142342, -1943608, 29647946, -499539274, 9211833980, -184511226396, 3988612069192, -92549005782872, 2294158840990112, -60504468236412688, 1691556804706653840, -49971227404392210528, 1555373458584517657488

Offset: 0

Author

Seiichi Manyama, May 11 2023

Keywords

• sign

Crossrefs

Cf. A217033, A361494.

Cf. A006252, A306037.

Programs

PARI

my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-log(1+log(1+x)))))

Formula

a(n) = Sum_{k=0..n} Stirling1(n,k) * A006252(k).