A012294 Expansion of e.g.f.: sech(sin(x)*exp(x)).

1, 0, -1, -6, -15, 60, 1023, 6062, -9247, -652680, -7332289, -13792350, 994947921, 19248140340, 119312444223, -2747842718122, -91993600741951, -1070543140984080, 10423240065585023, 710021632610736714

Offset

0,4

Links

G. C. Greubel, Table of n, a(n) for n = 0..440 (terms 0..200 from Vincenzo Librandi)

Example

E.g.f. = 1 - x^2/2! - 6*x^3/3! - 15*x^4/4! + 60*x^5/5! + ...

Mathematica

With[{nn=20}, CoefficientList[Series[Sech[Sin[x]Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jun 04 2012 *)

Prog

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

Crossrefs

Sequence in context: A361567 A067665 A012595 * A219811 A255007 A069750

Adjacent sequences: A012291 A012292 A012293 * A012295 A012296 A012297

Keyword

sign

Author

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

Extensions

Definition clarified by Harvey P. Dale, Jun 04 2012

Status

approved