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A202343
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Decimal expansion of x>0 satisfying 2x+1=e^x.
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2
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1, 2, 5, 6, 4, 3, 1, 2, 0, 8, 6, 2, 6, 1, 6, 9, 6, 7, 6, 9, 8, 2, 7, 3, 7, 6, 1, 6, 6, 0, 9, 2, 1, 6, 3, 2, 6, 9, 1, 6, 4, 1, 6, 8, 3, 1, 7, 0, 1, 3, 2, 3, 7, 1, 1, 1, 2, 5, 8, 9, 4, 7, 2, 7, 0, 4, 8, 3, 0, 0, 4, 7, 8, 5, 4, 1, 0, 5, 1, 9, 0, 3, 5, 3, 3, 6, 6, 4, 7, 5, 0, 9, 4, 7, 2, 5, 0, 8, 4
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OFFSET
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1,2
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COMMENTS
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See A202320 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=1..99.
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EXAMPLE
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x=1.25643120862616967698273761660921...
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MATHEMATICA
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u = 2; v = 1;
f[x_] := u*x + v; g[x_] := E^x
Plot[{f[x], g[x]}, {x, -3, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r] (* A202343 *)
RealDigits[-1/2 - ProductLog[-1, -1/(2*Sqrt[E])], 10, 99] // First (* Jean-François Alcover, Feb 27 2013 *)
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CROSSREFS
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Cf. A202320.
Sequence in context: A021979 A021043 A213736 * A154946 A016636 A103989
Adjacent sequences: A202340 A202341 A202342 * A202344 A202345 A202346
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KEYWORD
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nonn,cons
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AUTHOR
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Clark Kimberling, Dec 17 2011
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STATUS
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approved
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