%I #8 May 13 2017 00:08:07

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

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

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

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

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

%e x=0.81500182386698136500646474507749839416761248...

%t u = 2; v = 2;

%t f[x_] := x*Sinh[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, .8, .9}, WorkingPrecision -> 110]

%t RealDigits[r] (* A202284 *)

%Y Cf. A201946.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Dec 15 2011