A201943 - OEIS

%I #8 Feb 07 2025 16:44:07

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

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

%U 8,2,0,1,3,4,1,8,7,2,7,9,8,9,1,9,0,3,3,2,0,6,2,0,1,8,7,0,2,9,7

%N Decimal expansion of x>0 satisfying x*cosh(x)=3.

%C See A201939 for a guide to related sequences. The Mathematica program includes a graph.

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

%e 1.3976589774224380204403252065308389839789...

%t u = 1; v = 3;

%t f[x_] := x*Cosh[u*x]; g[x_] := v

%t Plot[{f[x], g[x]}, {x, 0, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]

%t RealDigits[r]    (* A201943 *)

%Y Cf. A201939.

%K nonn,cons,changed

%O 1,2

%A _Clark Kimberling_, Dec 15 2011