A012034 exp(sin(arcsinh(x))) = 1+x+1/2!*x^2-1/3!*x^3-7/4!*x^4+1/5!*x^5...

1, 1, 1, -1, -7, 1, 121, 111, -4271, -9407, 262801, 957791, -25257079, -131065791, 3510517193, 23876150351, -667413187039, -5645293077119, 166471455235489, 1689130316350143, -52750545434135399

Offset

0,5

Links

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

Formula

a(n) ~ 2 * n^(n-1) * cosh(Pi/2) * sin(Pi*n/2-sinh(Pi/2)) / exp(n). - Vaclav Kotesovec, Oct 30 2013

Mathematica

CoefficientList[Series[Exp[Sin[ArcSinh[x]]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Oct 30 2013 *)

Crossrefs

Sequence in context: A013559 A051186 A373389 * A138324 A052122 A027538

Adjacent sequences: A012031 A012032 A012033 * A012035 A012036 A012037

Keyword

sign

Author

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

Status

approved