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A201944 Decimal expansion of x>0 satisfying x*cosh(2x)=1. 2

%I

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

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

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

%N Decimal expansion of x>0 satisfying x*cosh(2x)=1.

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

%e x=0.5752924837093319747674668668068940978834187...

%t u = 2; v = 1;

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

%t Plot[{f[x], g[x]}, {x, 0, 1}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, .57, .58}, WorkingPrecision -> 110]

%t RealDigits[r] (* A201944 *)

%Y Cf. A201939.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Dec 15 2011

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Last modified September 20 05:24 EDT 2021. Contains 347577 sequences. (Running on oeis4.)