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A009018 Expansion of e.g.f.: cos(log(1+log(1+x))). 1
1, 0, -1, 6, -39, 295, -2589, 26026, -295754, 3755016, -52729546, 811837268, -13601028438, 246312375686, -4793646410058, 99730695561532, -2207506199891660, 51757576802639920, -1280121375188444260 (list; graph; refs; listen; history; text; internal format)
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: A231482 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

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Last modified June 16 11:58 EDT 2021. Contains 345057 sequences. (Running on oeis4.)