A069814 - OEIS

%I #17 Feb 04 2025 10:06:03

%S 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,

%T 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,

%U 9,2,3,1,9,9,4,4,8,1,4,1,2,7,8,0,8,2

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

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HyperbolicSecant.html">Hyperbolic Secant</a>

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%e 0.76500995...

%p Digits:= 120:

%p fsolve(x*cosh(x)=1,x=0..1); # _Robert Israel_, Jan 07 2015

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

%o (PARI) solve(x=0, 1, x*cosh(x)-1) \\ _Michel Marcus_, Jan 06 2015

%K cons,easy,nonn,changed

%O 0,1

%A _Benoit Cloitre_, Apr 30 2002

%E Corrected by _Harvey P. Dale_, Jan 06 2015