A202245 Decimal expansion of x>0 satisfying x*sinh(3x)=1.

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

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=0.48829244478781804192976333458503545920...

Mathematica

u = 3; v = 1;
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, .4, .5}, WorkingPrecision -> 110]
RealDigits[r]   (* A202245 *)

Crossrefs

Cf. A201946.

Sequence in context: A021676 A122153 A200628 * A153258 A319592 A200395

Adjacent sequences: A202242 A202243 A202244 * A202246 A202247 A202248

Keyword

nonn,cons

Author

Clark Kimberling, Dec 15 2011

Status

approved