%I A083096
%S A083096 0,12,30,36,84,90,108,120,246,252,270,282,324,336,354,360,732,738,756,
%T A083096 768,810,822,840,846,972,984,1002,1008,1056,1062,1080,1092,2190,2196,
%U A083096 2214,2226,2268,2280,2298,2304,2430,2442,2460,2466,2514,2520,2538,2550
%N A083096 Numbers n such that 3 divides sum(k=1,n, C(2k,k) ).
%C A083096 Apparently a(n)/3 (mod 3) = A010060(n), the Thue-Morse sequence
%F A083096 It appears that sequence gives n such that the coefficient of x^n equals 
               1 in prod (k>=1, 1-x^(3^k))
%Y A083096 Cf. A066796, A083097, A081601.
%Y A083096 Sequence in context: A049725 A050689 A115912 this_sequence A145469 A024364 
               A093507
%Y A083096 Adjacent sequences: A083093 A083094 A083095 this_sequence A083097 A083098 
               A083099
%K A083096 easy,nonn
%O A083096 1,2
%A A083096 Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 22 2003