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A202350 Decimal expansion of x > 0 satisfying e*x + 1 = exp(x). 2
1, 7, 5, 0, 7, 8, 6, 7, 2, 2, 6, 8, 0, 1, 4, 6, 3, 6, 7, 5, 7, 0, 0, 1, 4, 8, 7, 7, 2, 5, 5, 3, 3, 2, 8, 9, 4, 1, 3, 7, 8, 6, 6, 3, 4, 9, 4, 0, 8, 2, 6, 8, 4, 9, 0, 8, 0, 5, 9, 4, 5, 7, 5, 6, 1, 6, 0, 8, 4, 7, 8, 6, 1, 9, 5, 5, 1, 7, 3, 2, 0, 6, 4, 9, 0, 1, 6, 9, 1, 4, 7, 2, 5, 8, 0, 3, 7, 0, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A202320 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

EXAMPLE

x = 1.750786722680146367570014877255332...

MATHEMATICA

u = E; v = 1;

f[x_] := u*x + v; g[x_] := E^x

Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, 1.7, 1.8}, WorkingPrecision -> 110]

RealDigits[r]  (* A202350 *)

RealDigits[(-1 - E*ProductLog[-1, -E^(-1-1/E)])/E, 10, 99] // First (* Jean-Fran├žois Alcover, Feb 27 2013 *)

CROSSREFS

Cf. A202320.

Sequence in context: A184908 A197519 A290374 * A096435 A021855 A256846

Adjacent sequences:  A202347 A202348 A202349 * A202351 A202352 A202353

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 17 2011

STATUS

approved

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Last modified May 25 11:04 EDT 2019. Contains 323539 sequences. (Running on oeis4.)