A009018 Expansion of e.g.f.: cos(log(1+log(1+x))).

1, 0, -1, 6, -39, 295, -2589, 26026, -295754, 3755016, -52729546, 811837268, -13601028438, 246312375686, -4793646410058, 99730695561532, -2207506199891660, 51757576802639920, -1280121375188444260

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..250

Maple

seq(coeff(series(factorial(n)*cos(log(1+log(1+x))), x, n+1), x, n), n=0..20); # Muniru A Asiru, Jul 21 2018

Mathematica

With[{nmax = 30}, CoefficientList[Series[Cos[Log[1 + Log[1 + x]]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 21 2018 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(cos(log(1+log(1+x))))) \\ G. C. Greubel, Jul 21 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Log(1 + Log(1 + x))))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 21 2018

Crossrefs

Sequence in context: A367233 A122827 A103194 * A289996 A335344 A135890

Adjacent sequences: A009015 A009016 A009017 * A009019 A009020 A009021

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved