A013182 exp(arctanh(x)+sinh(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+177/5!*x^5...

1, 2, 4, 11, 40, 177, 934, 5889, 42648, 354825, 3295194, 34194349, 387494364, 4812801541, 64310993478, 929134537249, 14291172086544, 235303563551473, 4092687247885554, 75620298761841685, 1467156197049970084

Offset

0,2

Links

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

Formula

a(n) ~ 2*exp(sinh(1)) * n^n / exp(n). - Vaclav Kotesovec, Oct 24 2013

Mathematica

With[{nn=20}, CoefficientList[Series[Exp[ArcTanh[x]+Sinh[x]], {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Jan 23 2012 *)

Crossrefs

Sequence in context: A110577 A335441 A012948 * A013170 A094762 A295772

Adjacent sequences: A013179 A013180 A013181 * A013183 A013184 A013185

Keyword

nonn

Author

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

Status

approved