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A201945
Decimal expansion of x>0 satisfying x*cosh(3x)=1.
2
4, 6, 5, 8, 8, 6, 3, 2, 5, 8, 0, 7, 4, 7, 9, 3, 4, 0, 1, 4, 6, 7, 7, 5, 0, 6, 8, 8, 4, 3, 6, 1, 2, 9, 9, 4, 6, 5, 9, 6, 3, 3, 8, 2, 0, 0, 6, 3, 3, 0, 0, 2, 8, 9, 8, 2, 6, 6, 7, 6, 1, 2, 4, 8, 8, 7, 5, 2, 7, 3, 3, 7, 8, 0, 6, 2, 4, 2, 6, 6, 3, 0, 6, 3, 4, 4, 4, 0, 2, 0, 6, 7, 2, 9, 0, 0, 9, 9, 3
OFFSET
0,1
COMMENTS
See A201939 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.465886325807479340146775068843612994659633...
MATHEMATICA
u = 3; v = 1;
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, .46, .47}, WorkingPrecision -> 110]
RealDigits[r] (* A201945 *)
CROSSREFS
Cf. A201939.
Sequence in context: A114602 A110000 A073922 * A375319 A362974 A375318
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 15 2011
STATUS
approved