A201944 Decimal expansion of x>0 satisfying x*cosh(2x)=1.

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

Offset: 0

Author

Clark Kimberling, Dec 15 2011

Keywords

• nonn
• cons

Comments

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

Examples

			0.5752924837093319747674668668068940978834187...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A201939.

Programs

Mathematica

u = 2; v = 1;
f[x_] := x*Cosh[u*x]; g[x_] := v
Plot[{f[x], g[x]}, {x, 0, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .57, .58}, WorkingPrecision -> 110]
RealDigits[r]    (* A201944 *)