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A202283 Decimal expansion of x>0 satisfying x*cosh(2x)=2. 2

%I #6 Mar 30 2012 18:58:03

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

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

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

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

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

%e x=0.79015026139471643916176884854422171239618...

%t u = 2; v = 2;

%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, .7, .8}, WorkingPrecision -> 110]

%t RealDigits[r] (* A202283 *)

%Y Cf. A201939.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Dec 15 2011

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)