A013168 exp(arctanh(x)+sin(x))=1+2*x+4/2!*x^2+9/3!*x^3+24/4!*x^4+97/5!*x^5...

1, 2, 4, 9, 24, 97, 534, 3647, 27272, 232345, 2170874, 22882827, 260563908, 3272680621, 43811275382, 637916495327, 9816624434928, 162606798592913, 2827858695802930, 52505736635681875, 1018209224687676028

Offset

0,2

Links

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

Formula

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

Mathematica

With[{nn=30}, CoefficientList[Series[Exp[ArcTanh[x]+Sin[x]], {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Oct 15 2012 *)

Crossrefs

Sequence in context: A324148 A012936 A013091 * A013183 A049963 A368458

Adjacent sequences: A013165 A013166 A013167 * A013169 A013170 A013171

Keyword

nonn

Author

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

Status

approved