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A202494 Decimal expansion of x satisfying x=e^(x-3). 2
5, 2, 4, 6, 9, 0, 9, 7, 4, 5, 7, 7, 1, 4, 8, 7, 2, 4, 0, 9, 8, 7, 3, 6, 1, 1, 2, 8, 6, 0, 1, 8, 3, 5, 8, 5, 5, 4, 1, 9, 9, 2, 3, 5, 4, 6, 0, 0, 3, 1, 0, 9, 5, 1, 0, 3, 3, 8, 1, 7, 1, 3, 3, 0, 8, 4, 3, 6, 0, 6, 2, 1, 6, 7, 7, 8, 8, 9, 9, 7, 6, 0, 4, 5, 2, 2, 2, 3, 4, 4, 5, 6, 1, 0, 8, 4, 6, 4, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A202348 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

x=0.052469097457714872409873611286018358554199...

MATHEMATICA

u = 1; v = -3;

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

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

r = x /. FindRoot[f[x] == g[x], {x, .15, .16}, WorkingPrecision -> 110]

RealDigits[r]  (* A202494 *)

RealDigits[ -ProductLog[-1/E^3], 10, 99] // First (* Jean-Fran├žois Alcover, Feb 27 2013 *)

CROSSREFS

Cf. A202348.

Sequence in context: A188739 A265287 A257701 * A112597 A257700 A006666

Adjacent sequences:  A202491 A202492 A202493 * A202495 A202496 A202497

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 20 2011

STATUS

approved

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Last modified January 22 15:57 EST 2019. Contains 319364 sequences. (Running on oeis4.)