A013344 tan(arcsin(x)-sin(x)) = 2/3!*x^3+8/5!*x^5+226/7!*x^7+15504/9!*x^9...

0, 2, 8, 226, 15504, 1188706, 148306520, 26128271170, 5977691158048, 1757745580960834, 644493123719650472, 287811224662750272034, 153933334239209991266992, 97140471618560380314609826

Offset

0,2

Links

Table of n, a(n) for n=0..13.

Formula

a(n) ~ c * (2*n)! / sqrt(n), where c = 1/(sqrt(Pi) * (sin(sin(1)))^2) = 1.0148109425617531683... . - Vaclav Kotesovec, Feb 29 2016

Mathematica

nn = 20; Table[(CoefficientList[Series[Cot[ArcCos[x] + Sin[x]], {x, 0, 2*nn+1}], x] * Range[0, 2*nn+1]!)[[n]], {n, 2, 2*nn, 2}] (* Vaclav Kotesovec, Feb 06 2015 *)

Crossrefs

Sequence in context: A013345 A013343 A013347 * A091503 A009588 A338543

Adjacent sequences: A013341 A013342 A013343 * A013345 A013346 A013347

Keyword

nonn

Author

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

Extensions

a(0)=0 prepended by Vaclav Kotesovec, Feb 06 2015

Definition modified by Vaclav Kotesovec, Feb 06 2015

Status

approved