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

1,1

Links

Table of n, a(n) for n=1..61.

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

Mathematica

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

Crossrefs

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

Sequence in context: A128815 A056527 A147991 * A373769 A350147 A110924

Adjacent sequences: A033157 A033158 A033159 * A033161 A033162 A033163

Keyword

nonn,changed

Author

N. J. A. Sloane.

Status

approved