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A202392
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Decimal expansion of the number x satisfying 3x=exp(-x).
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2
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2, 5, 7, 6, 2, 7, 6, 5, 3, 0, 4, 9, 7, 3, 6, 7, 0, 4, 2, 8, 2, 9, 1, 6, 2, 0, 1, 6, 2, 6, 0, 9, 7, 7, 9, 0, 9, 0, 9, 6, 9, 2, 6, 4, 7, 5, 0, 3, 2, 0, 4, 4, 9, 1, 5, 3, 3, 9, 5, 1, 1, 4, 4, 0, 6, 6, 3, 1, 9, 1, 2, 9, 2, 7, 5, 2, 0, 4, 3, 7, 2, 4, 5, 9, 6, 3, 9, 8, 8, 7, 9, 3, 4, 1, 0, 0, 2, 5, 0
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OFFSET
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0,1
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COMMENTS
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See A202322 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=0.257627653049736704282916201626097790909692...
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MATHEMATICA
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u = 3; v = 0;
f[x_] := u*x + v; g[x_] := E^-x
Plot[{f[x], g[x]}, {x, 0, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .25, .26}, WorkingPrecision -> 110]
RealDigits[r] (* A202392 *)
RealDigits[ ProductLog[1/3], 10, 99] // First (* Jean-François Alcover, Feb 14 2013 *)
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CROSSREFS
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Cf. A202322.
Sequence in context: A079378 A066035 A167554 * A078320 A141430 A021392
Adjacent sequences: A202389 A202390 A202391 * A202393 A202394 A202395
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Dec 18 2011
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STATUS
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approved
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