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Smallest natural number sequence without any length 4 equidistant arithmetic subsequences.
8

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

%S 1,2,3,5,6,7,9,10,11,14,15,16,18,19,20,22,24,27,28,29,31,32,35,36,37,

%T 39,41,42,43,47,48,50,51,53,55,58,60,61,63,65,66,68,70,71,72,77,78,80,

%U 82,85,86,87,89,90,91,94,95,96,98,99,100,102,103,104,107,109,110,111,114

%N Smallest natural number sequence without any length 4 equidistant arithmetic subsequences.

%e 4 is out because of 1,2,3,4. 13 is out because of 1,5,9,13.

%Y Cf. A101887, A101884, A101888.

%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