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Smallest natural number sequence without any length 5 equidistant arithmetic subsequences.
8

%I #5 Jan 21 2014 12:17:58

%S 1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,22,23,24,25,27,28,29,30,32,

%T 33,34,35,37,38,39,40,43,44,45,46,48,49,50,51,53,54,55,56,58,59,60,61,

%U 64,65,66,67,69,70,71,72,74,75,76,77,79,80,81,82,86,87,88,90,91,92,93,95

%N Smallest natural number sequence without any length 5 equidistant arithmetic subsequences.

%e 5 is out because of 1,2,3,4,5. 21 is out because of 1,6,11,16,21.

%Y Cf. A101889, A101884, A101886.

%Y A selection of sequences related to "no three-term arithmetic progression": A003002, A003003, A003278, A004793, A005047, A005487, A033157, A065825, A092482, A093678, A093679, A093680, A093681, A093682, A094870, A101884, A101886, A101888, A140577, A185256, A208746, A229037.

%K nonn

%O 1,2

%A Douglas Stones (dssto1(AT)student.monash.edu.au), Dec 20 2004