A009315 Expansion of log(1+log(1+x))*exp(x).

0, 1, 0, 4, -15, 108, -875, 8517, -95900, 1228777, -17659660, 281423800, -4926084031, 93966286048, -1940264385995, 43119269420549, -1026217122711680, 26041836268699721, -701939296463506432, 20028165890726106852

Offset

0,4

Links

Table of n, a(n) for n=0..19.

Formula

a(n) ~ (n-1)! * (-1)^(n+1) * exp(-1+exp(-1)) / (1-exp(-1))^n. - Vaclav Kotesovec, Jan 23 2015

Mathematica

Log[ 1+Log[ 1+x ] ]*Exp[ x ]
CoefficientList[Series[E^x*Log[1 + Log[1 + x]], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)

Crossrefs

Sequence in context: A339287 A081548 A207163 * A350484 A303654 A027162

Adjacent sequences: A009312 A009313 A009314 * A009316 A009317 A009318

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved