A009065 Expansion of e.g.f. cos(tan(log(1+x))).

1, 0, -1, 3, -18, 120, -966, 8946, -93748, 1094832, -14078036, 197375420, -2992213584, 48700300272, -845573085072, 15571699693200, -302493769715504, 6165508375224704, -131129003401938832, 2892534929270217648

Offset

0,4

Links

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

Mathematica

With[{nmax = 30}, CoefficientList[Series[Cos[Tan[Log[1 + x]]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 24 2018 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(cos(tan(log(1+x))))) \\ G. C. Greubel, Jul 24 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Tan(Log(1+x))))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 24 2018

Crossrefs

Sequence in context: A153394 A334682 A320616 * A109714 A118348 A011792

Adjacent sequences: A009062 A009063 A009064 * A009066 A009067 A009068

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved