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%I
%S 0,0,0,0,0,0,0,0,1,1,2,2,3,4,5,6,7,8,10,12,14,16,18,20,22,24,26,28,31,
%T 34,37,40,43,46
%N Minimal number of three-term arithmetic progressions that a coloring of {1,...,n} can contain.
%C a(9)=1 is the well known fact that the van der Waerden number for 2 colors and three-term arithmetic progressions is 9.
%e a(8)=0 because we can two color {1,...,8} by 11001100 so that there are no three-term arithmetic progressions.
%Y Cf. A121386.
%K nonn
%O 1,11
%A _Steve Butler_, Jul 26 2006
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