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A009028 Expansion of cos(log(1+x)*cos(x)). 1
1, 0, -1, 3, 2, -20, -40, 630, -3092, 13032, -133580, 1827980, -21237632, 244445760, -3154775208, 45173375520, -689191245168, 11093076554048, -189142200382672, 3415285850672880, -65041019882791840, 1301902345882783680 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

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

MATHEMATICA

With[{nn=30}, CoefficientList[Series[Cos[Log[1+x]*Cos[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Aug 21 2016 *)

PROG

(PARI) x='x+O('x^30); Vec(serlaplace( cos(log(1+x)*cos(x)) )) \\ G. C. Greubel, Jul 22 2018

(MAGMA) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Log(1+x))*Cos(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 22 2018

CROSSREFS

Sequence in context: A098655 A065038 A123225 * A009022 A009033 A298661

Adjacent sequences:  A009025 A009026 A009027 * A009029 A009030 A009031

KEYWORD

sign,easy

AUTHOR

R. H. Hardin

EXTENSIONS

Extended with signs by Olivier Gérard, Mar 15 1997

Previous Mathematica program replaced by Harvey P. Dale, Aug 21 2016

STATUS

approved

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Last modified June 19 15:03 EDT 2021. Contains 345141 sequences. (Running on oeis4.)