%I A107684
%S A107684 0,1,2,3,4,5,7,8,9,15,16,17,31,32,33,63,64,65,127,128,129,255,256,257,
%T A107684 511,512,513,1023,1024,1025,2047,2048,2049,4095,4096,4097,8191,8192,
%U A107684 8193,16383,16384,16385,32767,32768,32769,65535,65536,65537,131071
%N A107684 Union of sequences 2^k-1, 2^k and 2^k+1.
%C A107684 Subsequence of A107686.
%F A107684 a(n) = if n<=2 then n else 2^(floor(n/3)+1) + n mod 3 - 1. - Reinhard 
               Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 05 2005
%F A107684 G.f.:-x*(1+3*x+6*x^2+7*x^3+6*x^4+4*x^5+2*x^6)/((2*x^3-1)*(x^2+x+1)) [From 
               Maksym Voznyy (voznyy(AT)mail.ru), Aug 12 2009]
%Y A107684 Cf. A000225, A000079, A000051.
%Y A107684 Sequence in context: A051204 A102363 A155900 this_sequence A111796 A039124 
               A056759
%Y A107684 Adjacent sequences: A107681 A107682 A107683 this_sequence A107685 A107686 
               A107687
%K A107684 nonn
%O A107684 0,3
%A A107684 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 20 2005
%E A107684 Description corrected by Henrik Lundquist, Jun 06 2005