A202243 - OEIS

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

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

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

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

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

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

%e x=1.46487733436345412578929000375510637762949493...

%t u = 1; v = 3;

%t f[x_] := x*Sinh[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, 1.4, 1.5}, WorkingPrecision -> 110]

%t RealDigits[r]   (* A202243 *)

%Y Cf. A201946.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Dec 15 2011