A201945 Decimal expansion of x>0 satisfying x*cosh(3x)=1.

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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..98.

Example

x=0.465886325807479340146775068843612994659633...

Mathematica

u = 3; 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, .46, .47}, WorkingPrecision -> 110]
RealDigits[r]     (* A201945 *)

Crossrefs

Cf. A201939.

Sequence in context: A114602 A110000 A073922 * A362974 A258827 A347092

Adjacent sequences: A201942 A201943 A201944 * A201946 A201947 A201948

Keyword

nonn,cons

Author

Clark Kimberling, Dec 15 2011

Status

approved