A069814 Decimal expansion of root of the equation x*cosh(x)=1.

7, 6, 5, 0, 0, 9, 9, 5, 4, 5, 5, 0, 7, 3, 2, 1, 2, 2, 6, 5, 5, 3, 2, 1, 7, 4, 2, 4, 8, 2, 8, 1, 5, 2, 1, 9, 2, 0, 0, 3, 5, 2, 1, 3, 7, 4, 7, 5, 0, 4, 3, 3, 2, 3, 1, 6, 2, 4, 7, 0, 7, 1, 0, 7, 4, 0, 0, 1, 9, 2, 3, 1, 9, 9, 4, 4, 8, 1, 4, 1, 2, 7, 8, 0, 8, 2

Offset: 0

Author

Benoit Cloitre, Apr 30 2002

Keywords

• cons
• easy
• nonn

Examples

			0.76500995455073212265532174248281521920035213747504332316247071...
		

Links

• Eric Weisstein's World of Mathematics, Hyperbolic Secant
• Index entries for transcendental numbers.

Crossrefs

Cf. A205571, A385281, A385282.

Programs

Maple

Digits:= 120:
fsolve(x*cosh(x)=1,x=0..1); # Robert Israel, Jan 07 2015

Mathematica

RealDigits[x/.FindRoot[x*Cosh[x]==1,{x,1},WorkingPrecision->120]][[1]] (* Harvey P. Dale, Jan 06 2015 *)

PARI

solve(x=0, 1, x*cosh(x)-1) \\ Michel Marcus, Jan 06 2015

Extensions

Corrected by Harvey P. Dale, Jan 06 2015