%I #17 Dec 27 2013 12:05:22
%S 1,1,2,2,3,3,4,4,4,5,5,6,6,6,7,7,7,8,8,8,9,9,9,9,10,10,10,11,11,11,12,
%T 12,12,12,13,13,13,14,14,14,14,15,15,15,15,16,16,16,16,17,17,17,17,18,
%U 18,18,19,19,19,19,20,20,20,20,21,21,21,21,21,22,22
%N Floor(exp(w(n))) where W is the Lambert W function.
%H Charles R Greathouse IV, <a href="/A225545/b225545.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) = n/log n + n log log n/log^2 n + O(n (log log n)^2/log^3 n). - _Charles R Greathouse IV_, Dec 27 2013
%t Table[Floor[Exp@ProductLog[n]], {n, 0, 100}]
%o (PARI) a(n)=exp(lambertw(n))\1 \\ _Charles R Greathouse IV_, Dec 27 2013
%K nonn
%O 0,3
%A _José María Grau Ribas_, May 17 2013