A202244 Decimal expansion of x>0 satisfying x*sinh(2x)=1.

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

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=0.62469716832316223625563716063050406173...

Mathematica

u = 2; 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, .6, .7}, WorkingPrecision -> 110]
RealDigits[r]   (* A202244 *)

Crossrefs

Cf. A201946.

Sequence in context: A175286 A061496 A125115 * A257535 A020831 A298777

Adjacent sequences: A202241 A202242 A202243 * A202245 A202246 A202247

Keyword

nonn,cons

Author

Clark Kimberling, Dec 15 2011

Status

approved