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%I A107684 #8 Mar 04 2018 08:20:28
%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.
%H A107684 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (-1,-1,2,2,2).
%F A107684 a(n) = if n<=2 then n else 2^(floor(n/3)+1) + n mod 3 - 1. - _Reinhard Zumkeller_, 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]
%t A107684 Flatten[{#-1,#,#+1}&/@(2^Range[0,20])]//Union (* _Harvey P. Dale_, Oct 06 2017 *)
%Y A107684 Cf. A000225, A000079, A000051.
%K A107684 nonn
%O A107684 0,3
%A A107684 _Reinhard Zumkeller_, May 20 2005
%E A107684 Description corrected by Henrik Lundquist, Jun 06 2005

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