A009077 Expansion of e.g.f. cos(tan(x)*log(1+x)).

1, 0, 0, 0, -12, 60, -570, 3780, -33600, 266112, -2452200, 21323280, -195333336, 1587135264, -9944442144, -30963922080, 3059476293120, -90038301262976, 2195425718875200, -50367095018001792, 1140534839454383488

Offset

0,5

Links

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

Mathematica

With[{nmax = 30}, CoefficientList[Series[Cos[Tan[x]*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(x)*log(1+x)))) \\ G. C. Greubel, Jul 24 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(Tan(x)*Log(1+x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 24 2018

Crossrefs

Sequence in context: A233004 A012360 A012708 * A012702 A009163 A012706

Adjacent sequences: A009074 A009075 A009076 * A009078 A009079 A009080

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved