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A202284
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Decimal expansion of x>0 satisfying x*sinh(2x)=2.
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1
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8, 1, 5, 0, 0, 1, 8, 2, 3, 8, 6, 6, 9, 8, 1, 3, 6, 5, 0, 0, 6, 4, 6, 4, 7, 4, 5, 0, 7, 7, 4, 9, 8, 3, 9, 4, 1, 6, 7, 6, 1, 2, 4, 8, 4, 4, 2, 0, 6, 6, 0, 5, 4, 6, 3, 0, 0, 8, 7, 3, 6, 7, 2, 0, 5, 4, 7, 8, 4, 4, 8, 3, 9, 3, 9, 3, 2, 5, 1, 1, 3, 0, 3, 2, 4, 5, 4, 4, 0, 1, 7, 0, 5, 3, 0, 7, 1, 7, 6
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OFFSET
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0,1
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COMMENTS
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See A201939 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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Table of n, a(n) for n=0..98.
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EXAMPLE
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x=0.81500182386698136500646474507749839416761248...
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MATHEMATICA
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u = 2; v = 2;
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, .8, .9}, WorkingPrecision -> 110]
RealDigits[r] (* A292284 *)
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CROSSREFS
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Cf. A201946.
Sequence in context: A021555 A223710 A163898 * A200120 A154861 A153495
Adjacent sequences: A202281 A202282 A202283 * A202285 A202286 A202287
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Dec 15 2011
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STATUS
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approved
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