A012409 E.g.f. sin(arctan(x)*exp(x)).

0, 1, 2, 0, -16, -60, -40, 336, -2560, -20976, 342688, 4002944, -24866048, -523996096, 3812202368, 103065059072, -777384271872, -26888473739008, 196597142376960, 8734488670474240, -63053651090673664

Offset

0,3

Links

Table of n, a(n) for n=0..20.

Example

sin(arctan(x)*exp(x)) = x + 2/2!*x^2 - 16/4!*x^4 - 60/5!*x^5 - 40/6!*x^6 + ...

Mathematica

With[{nn=30}, CoefficientList[Series[Sin[ArcTan[x]Exp[x]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, May 17 2013 *)

Crossrefs

Sequence in context: A012414 A098336 A116093 * A012661 A345652 A009528

Adjacent sequences: A012406 A012407 A012408 * A012410 A012411 A012412

Keyword

sign

Author

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

Status

approved