A202283 Decimal expansion of x>0 satisfying x*cosh(2x)=2.

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

Index entries for transcendental numbers.

Example

0.79015026139471643916176884854422171239618...

Mathematica

u = 2; v = 2;
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, .7, .8}, WorkingPrecision -> 110]
RealDigits[r]   (* A202283 *)

Crossrefs

Cf. A201939.

Sequence in context: A360990 A328110 A298740 * A322092 A104757 A199392

Adjacent sequences: A202280 A202281 A202282 * A202284 A202285 A202286

Keyword

nonn,cons,changed

Author

Clark Kimberling, Dec 15 2011

Status

approved