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A201943 Decimal expansion of x>0 satisfying x*cosh(x)=3.

%I A201943 #8 Feb 07 2025 16:44:07
%S A201943 1,3,9,7,6,5,8,9,7,7,4,2,2,4,3,8,0,2,0,4,4,0,3,2,5,2,0,6,5,3,0,8,3,8,
%T A201943 9,8,3,9,7,8,9,0,1,4,6,0,1,8,9,9,0,0,8,6,9,4,8,0,0,2,8,3,7,4,6,6,2,5,
%U A201943 8,2,0,1,3,4,1,8,7,2,7,9,8,9,1,9,0,3,3,2,0,6,2,0,1,8,7,0,2,9,7
%N A201943 Decimal expansion of x>0 satisfying x*cosh(x)=3.
%C A201943 See A201939 for a guide to related sequences. The Mathematica program includes a graph.
%H A201943 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A201943 1.3976589774224380204403252065308389839789...
%t A201943 u = 1; v = 3;
%t A201943 f[x_] := x*Cosh[u*x]; g[x_] := v
%t A201943 Plot[{f[x], g[x]}, {x, 0, 2}, {AxesOrigin -> {0, 0}}]
%t A201943 r = x /. FindRoot[f[x] == g[x], {x, 1.3, 1.4}, WorkingPrecision -> 110]
%t A201943 RealDigits[r]    (* A201943 *)
%Y A201943 Cf. A201939.
%K A201943 nonn,cons
%O A201943 1,2
%A A201943 _Clark Kimberling_, Dec 15 2011