A202284 Decimal expansion of x>0 satisfying x*sinh(2x)=2.

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

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=0.81500182386698136500646474507749839416761248...

Mathematica

u = 2; v = 2;
f[x_] := x*Sinh[u*x]; g[x_] := v
Plot[{f[x], g[x]}, {x, 0, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .8, .9}, WorkingPrecision -> 110]
RealDigits[r]   (* A202284 *)

Crossrefs

Cf. A201946.

Sequence in context: A223710 A163898 A280040 * A231772 A338935 A200120

Adjacent sequences: A202281 A202282 A202283 * A202285 A202286 A202287

Keyword

nonn,cons

Author

Clark Kimberling, Dec 15 2011

Status

approved