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A202243 Decimal expansion of x>0 satisfying x*sinh(x)=3. 2
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A201939 for a guide to related sequences. The Mathematica program includes a graph.
LINKS
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 15 2011
STATUS
approved

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Last modified April 19 07:38 EDT 2024. Contains 371782 sequences. (Running on oeis4.)