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 A267300 Earliest positive increasing sequence having no 5-term subsequence with constant second differences. 8
 0, 1, 2, 3, 5, 6, 7, 8, 11, 13, 16, 19, 20, 22, 24, 30, 31, 36, 45, 46, 52, 55, 60, 62, 63, 66, 69, 71, 75, 86, 89, 92, 103, 111, 115, 119, 134, 137, 145, 152, 163, 176, 178, 179, 196, 200, 220, 223, 275, 276, 278, 281, 282, 284, 286, 294, 304, 316, 319, 326, 339, 353, 360, 363, 376, 379, 384, 390, 402, 414, 423, 429, 442 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS PROG (PARI) A267300(n, show=0, L=5, o=2, v=[0], D=v->v[2..-1]-v[1..-2])={ my(d, m); while( #v1, ); #Set(d)>1||next(2), 2); break)); v[#v]} \\ M. F. Hasler, Jan 12 2016 CROSSREFS Cf. A267301 (positive variant: starting with 1). No 3-term AP: A005836 (>=0), A003278 (>0); no 4-term AP: A240075 (>=0), A240555 (>0); no 5-term AP: A020654 (>=0), A020655 (>0); no 6-term AP: A020656 (>=0), A005838 (>0); no 7-term AP: A020657 (>=0), A020658 (>0); no 8-term AP: A020659 (>=0), A020660 (>0); no 9-term AP: A020661 (>=0), A020662 (>0); no 10-term AP: A020663 (>=0), A020664 (>0). Cf. A240075 and A240555 for sequences avoiding 4-term subsequences with constant second differences. Cf. A240556 and A240557 for sequences avoiding 5-term subsequences with constant third differences. Sequence in context: A063966 A123030 A284836 * A063752 A191893 A016741 Adjacent sequences:  A267297 A267298 A267299 * A267301 A267302 A267303 KEYWORD nonn AUTHOR M. F. Hasler, Jan 12 2016 STATUS approved

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Last modified October 20 10:45 EDT 2019. Contains 328257 sequences. (Running on oeis4.)