%I #14 Apr 25 2016 08:15:01
%S 16,38,43,49,52,53,98,127,152,174,179,185,188,189,234,263,288,310,315,
%T 321,324,325,370,399,424,446,451,457,460,461,506,535,560,582,587,593,
%U 596,597,642,671,696,718,723,729,732,733,778,807,832,854,859,865,868
%N Numbers n with property that n + 2^n == 0 (mod 17).
%C First differences are periodic with length 8: 22,5,6,3,1,45,29,25,(22).
%C Corresponding integers of the form (n+2^n)/17: 3856, 16169288646, 517417236603, 33114703142433, 264917625139444, 529835250278885, 18641920591591608845539753026, 10008304909439366572452194336228476815, 335822986519049383778420228105763561501822744.
%H G. C. Greubel, <a href="/A166112/b166112.txt">Table of n, a(n) for n = 1..1000</a>
%t Select[Range[2000], Mod[(# + 2^#), 17] == 0 &]
%K nonn
%O 1,1
%A _Zak Seidov_, Oct 06 2009