A009313 Expansion of log(1+log(1+x))*cos(x).

0, 1, -2, 4, -23, 163, -1339, 13032, -146908, 1883029, -27063486, 431223780, -7546460679, 143910464215, -2970645836131, 65997680098984, -1570238012053824, 39835540730060265, -1073437411354655634

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

a(n) ~ (n-1)! * (-1)^(n+1) * cos(1-exp(-1)) / (1-exp(-1))^n. - Vaclav Kotesovec, Jan 22 2015

Mathematica

Log[ 1+Log[ 1+x ] ]*Cos[ x ]
CoefficientList[Series[Cos[x]*Log[1 + Log[1 + x]], {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 22 2015 *)

Crossrefs

Sequence in context: A308164 A173352 A366224 * A009317 A209024 A081680

Adjacent sequences: A009310 A009311 A009312 * A009314 A009315 A009316

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved