A202243 Decimal expansion of x>0 satisfying x*sinh(x)=3.

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.46487733436345412578929000375510637762949493...

Mathematica

u = 1; v = 3;
f[x_] := x*Sinh[u*x]; g[x_] := v
Plot[{f[x], g[x]}, {x, 0, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]   (* A202243 *)

Crossrefs

Cf. A201946.

Sequence in context: A256318 A018835 A055166 * A130762 A054002 A010300

Adjacent sequences: A202240 A202241 A202242 * A202244 A202245 A202246

Keyword

nonn,cons

Author

Clark Kimberling, Dec 15 2011

Status

approved