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%I #5 Mar 30 2012 18:58:03
%S 4,8,8,2,9,2,4,4,4,7,8,7,8,1,8,0,4,1,9,2,9,7,6,3,3,3,4,5,8,5,0,3,5,4,
%T 5,9,2,0,9,8,3,1,6,4,6,0,5,6,4,9,6,7,0,2,0,1,6,4,1,5,2,1,9,0,0,4,4,6,
%U 1,7,8,8,6,6,5,5,1,2,8,1,0,3,4,6,1,8,9,4,7,0,9,0,5,1,1,1,6,4,2
%N Decimal expansion of x>0 satisfying x*sinh(3x)=1.
%C See A201939 for a guide to related sequences. The Mathematica program includes a graph.
%e x=0.48829244478781804192976333458503545920...
%t u = 3; v = 1;
%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, .4, .5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A202245 *)
%Y Cf. A201946.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Dec 15 2011
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