%I #8 Mar 12 2014 15:12:45
%S 1,4,10,12,20,263,964,1533,26974
%N Numbers n such that [(Pi+e)/(Pie)]^n is closer to its nearest integer than any value of [(Pi+e)/(Pie)]^k for 1 <= k < n.
%C At n=1533, the discrepancy from an integer is 0.000043205...
%C At n=26974, the discrepancy from an integer is 0.00002313...  _Ryan Propper_, Jul 26 2005
%t $MaxExtraPrecision = 10^6; x = (Pi + E)/(Pi  E); b = 1; Do[a = Abs[N[Round[x^n]  x^n, 30]]; If[a < b, Print[n]; b = a], {n, 1, 30000}] (* _Ryan Propper_, Jul 26 2005 *)
%Y Cf. A079490, A080052, A080279A080284.
%K more,nonn
%O 1,2
%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003
%E One more term from _Ryan Propper_, Jul 26 2005
