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

0,1

Links

Table of n, a(n) for n=0..85.

Eric Weisstein's World of Mathematics, Hyperbolic Secant

Example

0.76500995...

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 *)

Prog

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

Crossrefs

Sequence in context: A100322 A341328 A094961 * A198816 A196553 A244921

Adjacent sequences: A069811 A069812 A069813 * A069815 A069816 A069817

Keyword

cons,easy,nonn

Author

Benoit Cloitre, Apr 30 2002

Extensions

Corrected by Harvey P. Dale, Jan 06 2015

Status

approved