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A202244
Decimal expansion of x>0 satisfying x*sinh(2x)=1.
2
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.
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
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Dec 15 2011
STATUS
approved