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A202495 Decimal expansion of x satisfying x=e^(-2*Pi*x). 1
2, 3, 2, 3, 1, 3, 3, 8, 2, 5, 5, 5, 1, 8, 1, 6, 2, 2, 8, 9, 5, 5, 2, 5, 4, 6, 6, 8, 0, 9, 0, 5, 4, 6, 9, 9, 6, 0, 0, 6, 5, 5, 4, 0, 3, 7, 2, 9, 1, 0, 6, 2, 4, 0, 8, 2, 6, 5, 4, 5, 6, 7, 1, 7, 8, 1, 0, 2, 2, 7, 8, 1, 9, 9, 3, 8, 2, 6, 8, 1, 7, 5, 3, 4, 2, 0, 8, 9, 8, 2, 1, 8, 5, 6, 9, 6, 8, 3, 6 (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=0.232313382555181622895525466809054699600655...

MATHEMATICA

u = -2*Pi; v = 0;

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

Plot[{f[x], g[x]}, {x, 0, .5}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, .2, .3}, WorkingPrecision -> 110]

RealDigits[r]    (* A202357 *)

RealDigits[ ProductLog[2*Pi]/(2*Pi), 10, 99] // First (* Jean-Fran├žois Alcover, Feb 19 2013 *)

CROSSREFS

Cf. A202348.

Sequence in context: A026600 A106560 A263350 * A103431 A238576 A239238

Adjacent sequences:  A202492 A202493 A202494 * A202496 A202497 A202498

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Dec 20 2011

STATUS

approved

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Last modified December 12 12:50 EST 2019. Contains 329958 sequences. (Running on oeis4.)