

A126584


Decimal expansion of solution to exp(x) = x^3.


1



7, 7, 2, 8, 8, 2, 9, 5, 9, 1, 4, 9, 2, 1, 0, 1, 1, 2, 8, 4, 8, 7, 4, 8, 6, 0, 4, 8, 7, 8, 2, 9, 3, 3, 7, 2, 7, 2, 9, 0, 7, 7, 9, 4, 2, 5, 0, 9, 6, 1, 3, 4, 7, 4, 6, 0, 1, 8, 5, 3, 4, 3, 2, 1, 9, 8, 9, 5, 7, 3, 8, 7, 8, 2, 5, 6, 1, 3, 1, 1, 7, 3, 7, 8, 9, 1, 9, 6, 6, 3, 8, 0, 2, 3, 0, 0, 7, 5, 1, 7, 4, 8
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OFFSET

0,1


LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000


FORMULA

Equals 3*LambertW(1/3).  G. C. Greubel, Mar 06 2018


EXAMPLE

0.7728829591492101128487486048782933727290779425096134746...


MATHEMATICA

RealDigits[ FindRoot[ Exp[ x] == x^3, {x, {.5, 1}}, WorkingPrecision > 120][[1, 2, 1]], 10, 111][[1]]
RealDigits[ 3*ProductLog[1/3], 10, 102] // First (* JeanFrançois Alcover, Feb 27 2013 *)


PROG

(PARI) 3*lambertw(1/3) \\ G. C. Greubel, Mar 06 2018


CROSSREFS

Cf. A030178.
Sequence in context: A303658 A169812 A195907 * A318302 A266271 A021568
Adjacent sequences: A126581 A126582 A126583 * A126585 A126586 A126587


KEYWORD

cons,nonn


AUTHOR

Denton J. Dailey (denton.dailey(AT)bc3.edu), Jan 05 2007


STATUS

approved



