A126584 - OEIS

%I #10 Nov 21 2024 15:41:15

%S 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,

%T 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,

%U 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

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

%H G. C. Greubel, <a href="/A126584/b126584.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals 3*LambertW(1/3). - _G. C. Greubel_, Mar 06 2018

%e 0.7728829591492101128487486048782933727290779425096134746...

%t RealDigits[ FindRoot[ Exp[ -x] == x^3, {x, {.5, 1}}, WorkingPrecision -> 120][[1, 2, 1]], 10, 111][[1]]

%t RealDigits[ 3*ProductLog[1/3], 10, 102] // First (* _Jean-François Alcover_, Feb 27 2013 *)

%o (PARI) 3*lambertw(1/3) \\ _G. C. Greubel_, Mar 06 2018

%Y Cf. A030178.

%K cons,nonn

%O 0,1

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