A012293 Expansion of e.g.f. sec(sin(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+25/4!*x^4+140/5!*x^5...

1, 0, 1, 6, 25, 140, 1177, 10738, 104977, 1188120, 15191889, 211088350, 3187087209, 52357837220, 926871127977, 17553084005322, 354581844112801, 7614153761167920, 173108509344647457, 4153655608324341686

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..432

Example

E.g.f. = 1 + x^2/2! + 6*x^3/3! + 25*x^4/4! + 140*x^5/5! + ...

Mathematica

With[{nn=20}, CoefficientList[Series[Sec[Sin[x]Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jan 14 2012 *)

Prog

(PARI) x='x+O('x^30); Vec(serlaplace(1/cos(sin(x)*exp(x)))) \\ G. C. Greubel, Oct 26 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!( 1/Cos(Sin(x)*Exp(x)) )); [Factorial(n-1)*b[n]: n in [1..m-1]]; // G. C. Greubel, Oct 26 2018

Crossrefs

Sequence in context: A275541 A082430 A136593 * A012594 A357089 A242858

Adjacent sequences: A012290 A012291 A012292 * A012294 A012295 A012296

Keyword

nonn

Author

Patrick Demichel (patrick.demichel(AT)hp.com)

Status

approved