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A033160 Begins with (2, 4); avoids 3-term arithmetic progressions. 5

%I #16 Jan 13 2019 19:32:22

%S 2,4,5,7,11,13,14,16,29,31,32,34,38,40,41,43,83,85,86,88,92,94,95,97,

%T 110,112,113,115,119,121,122,124,245,247,248,250,254,256,257,259,272,

%U 274,275,277,281,283,284,286,326,328,329,331,335,337,338,340,353,355,356,358,362

%N Begins with (2, 4); avoids 3-term arithmetic progressions.

%H F. Iacobescu, <a href="http://fs.unm.edu/SN/SPartitionType.pdf">Smarandache Partition Type and Other Sequences</a>, Bull. Pure Appl. Sci. 16E, 237-240, 1997.

%H H. Ibstedt, <a href="http://vixra.org/abs/1403.0853">A Few Smarandache Sequences</a>, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, 170-183.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/NonarithmeticProgressionSequence.html">Nonarithmetic Progression Sequence</a>

%t Select[Range[1000], MatchQ[IntegerDigits[#-2, 3], {(0|1)..., 0|2}]&] (* _Jean-François Alcover_, Jan 13 2019, after _Tanya Khovanova_ in A186776 *)

%Y a(n) = A186776(n)+2 = A004793(n)+1 = A033163(n)-1. Cf. A185256.

%K nonn

%O 1,1

%A _N. J. A. Sloane_.

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Last modified April 24 07:00 EDT 2024. Contains 371920 sequences. (Running on oeis4.)