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

2, 4, 5, 7, 11, 13, 14, 16, 29, 31, 32, 34, 38, 40, 41, 43, 83, 85, 86, 88, 92, 94, 95, 97, 110, 112, 113, 115, 119, 121, 122, 124, 245, 247, 248, 250, 254, 256, 257, 259, 272, 274, 275, 277, 281, 283, 284, 286, 326, 328, 329, 331, 335, 337, 338, 340, 353, 355, 356, 358, 362

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Links

• F. Iacobescu, Smarandache Partition Type and Other Sequences, Bull. Pure Appl. Sci. 16E, 237-240, 1997.
• H. Ibstedt, A Few Smarandache Sequences, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, 170-183.
• Eric Weisstein's World of Mathematics, Nonarithmetic Progression Sequence

Crossrefs

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

Programs

Mathematica

Select[Range[1000], MatchQ[IntegerDigits[#-2, 3], {(0|1)..., 0|2}]&] (* Jean-François Alcover, Jan 13 2019, after Tanya Khovanova in A186776 *)