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 A224853 Lexicographically earliest sequence of nonnegative integers which does not contain a three-term arithmetic, geometric, or harmonic subsequence. 3
 0, 1, 3, 4, 10, 11, 13, 14, 29, 30, 32, 33, 38, 39, 41, 42, 85, 86, 88, 89, 94, 95, 97, 98, 112, 113, 115, 116, 122, 123, 125, 238, 248, 251, 252, 255, 257, 260, 261, 273, 275, 278, 279, 287, 288, 292, 330, 331, 334, 335 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS This sequence diverges from A225571 at 477th term. Here a(477) = 17408, while A225571(477) = 17380. - Giovanni Resta, Jul 29 2013 LINKS Giovanni Resta, Table of n, a(n) for n = 1..10000 EXAMPLE After terms 0, 1, 3, 4 have been added, the terms 5,...,9 are forbidden by subsequences (3,4,5), (0,3,6), (1,4,7), (0,4,8) and (1,3,9) so the next term is 10. PROG (Python) # Program that generates all values of a(x) less than a given input n. def a(n): seq=[0, 1] for x in range(2, n+1): c=0 for y in seq: if (x+y)/2 not in seq: if (x*y)**0.5 not in seq[1:]: if (2*x*y)/(x+y) not in seq[1:]: c+=1 if c==len(seq): seq.append(x) return seq CROSSREFS Cf. A225571, A003278, A005836, A000452. Sequence in context: A292564 A191192 A139063 * A225571 A191134 A196101 Adjacent sequences: A224850 A224851 A224852 * A224854 A224855 A224856 KEYWORD nonn,look AUTHOR Timur Vural, Jul 28 2013 STATUS approved

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Last modified August 3 21:27 EDT 2024. Contains 374905 sequences. (Running on oeis4.)