cp's OEIS Frontend

A202354 Decimal expansion of the number x satisfying x+e=exp(-x).

%I A202354 #16 Feb 07 2025 16:44:07
%S A202354 7,0,1,5,0,2,0,6,3,5,6,6,8,4,4,6,1,1,0,8,2,4,9,6,9,1,7,1,5,8,6,5,0,7,
%T A202354 6,3,9,8,4,6,2,9,2,5,6,9,3,6,2,5,3,1,7,2,5,2,5,9,3,4,5,5,5,5,8,1,3,2,
%U A202354 6,0,5,5,8,6,2,5,5,7,5,9,5,4,1,8,9,4,2,7,3,3,8,4,9,8,2,4,6,5,2
%N A202354 Decimal expansion of the number x satisfying x+e=exp(-x).
%C A202354 See A202322 for a guide to related sequences. The Mathematica program includes a graph.
%H A202354 G. C. Greubel, <a href="/A202354/b202354.txt">Table of n, a(n) for n = 0..5000</a>
%e A202354 x=-0.7015020635668446110824969171586507639...
%t A202354 u = 1; v = E;
%t A202354 f[x_] := u*x + v; g[x_] := E^-x
%t A202354 Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
%t A202354 r = x /. FindRoot[f[x] == g[x], {x, -.8, -.7}, WorkingPrecision -> 110]
%t A202354 RealDigits[r] (* A202354 *)
%t A202354 (* other program *)
%t A202354 RealDigits[ ProductLog[E^E] - E , 10, 99] // First (* _Jean-François Alcover_, Feb 14 2013 *)
%o A202354 (PARI) lambertw(exp(exp(1))) - exp(1) \\ _G. C. Greubel_, Jun 10 2017
%Y A202354 Cf. A202322.
%K A202354 nonn,cons
%O A202354 0,1
%A A202354 _Clark Kimberling_, Dec 18 2011