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A092482 Sequence contains no 3-term arithmetic progression, other than its initial terms 1,2,3. 12
1, 2, 3, 6, 7, 14, 15, 17, 18, 36, 37, 39, 40, 45, 46, 48, 49, 98, 99, 101, 102, 107, 108, 110, 111, 125, 126, 128, 129, 134, 135, 137, 138, 276, 277, 279, 280, 285, 286, 288, 289, 303, 304, 306, 307, 312, 313, 315, 316, 357, 358, 360, 361, 366, 367, 369, 370 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(1)=1, a(2)=2, a(3)=3; a(n) is least k such that no three terms of a(1), a(2), ..., a(n-1), k form an arithmetic progression, except for the first triple (1,2,3).

LINKS

Table of n, a(n) for n=1..57.

Eric Weisstein's World of Mathematics, Nonarithmetic Progression Sequence.

Index entries related to non-averaging sequences

FORMULA

For n>2, a(n+2) = 1 + 2^[log2(n)] + sum[k=1, n, (3^A007814(n)+1)/2] = 1 + A053644(n) + A005836(n) (conjectured and checked up to n=512).

CROSSREFS

Cf. A004793, A033157.

Sequence in context: A233423 A256800 A172105 * A147303 A075427 A066880

Adjacent sequences:  A092479 A092480 A092481 * A092483 A092484 A092485

KEYWORD

nonn

AUTHOR

Ralf Stephan, Apr 04 2004

EXTENSIONS

Name clarified by Charles R Greathouse IV, Jan 30 2014

STATUS

approved

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Last modified October 22 01:37 EDT 2018. Contains 316431 sequences. (Running on oeis4.)