A009076 Expansion of e.g.f. cos(tan(x)*exp(x)).

1, 0, -1, -6, -31, -140, -577, -1498, 6785, 192840, 2667711, 31783730, 353106657, 3771795196, 38270910975, 356214219678, 2639000258561, 4515406498320, -420731049845121, -13553517751217174, -318084517098105631

Offset

0,4

Links

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

Mathematica

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

Crossrefs

Sequence in context: A244199 A128568 A079924 * A291396 A012714 A094951

Adjacent sequences: A009073 A009074 A009075 * A009077 A009078 A009079

Keyword

sign,easy

Author

R. H. Hardin

Extensions

Extended with signs by Olivier Gérard, Mar 15 1997

Status

approved