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A012771 exp(cosh(x)*arcsinh(x))=1+x+1/2!*x^2+3/3!*x^3+9/4!*x^4+25/5!*x^5... 0
1, 1, 1, 3, 9, 25, 105, 371, 1393, 11985, 71025, -13981, -898887, 45127017, 455252889, -5553908333, -75822681503, 1415759895841, 21366754787169, -404022487469117, -7036035942040855, 148035510590478137 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..21.

FORMULA

E.g.f.: (x+sqrt(1+x^2))^(cosh(x)). - Vaclav Kotesovec, Nov 01 2013

a(n) ~ 2*cos(1) * sin(Pi/2*(n-cos(1))) * n^(n-1) / exp(n). - Vaclav Kotesovec, Nov 01 2013

MATHEMATICA

CoefficientList[Series[Exp[Cosh[x]*ArcSinh[x]], {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Nov 01 2013 *)

CROSSREFS

Sequence in context: A246653 A192371 A192465 * A178061 A120284 A074440

Adjacent sequences:  A012768 A012769 A012770 * A012772 A012773 A012774

KEYWORD

sign

AUTHOR

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

STATUS

approved

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Last modified July 24 21:47 EDT 2021. Contains 346273 sequences. (Running on oeis4.)