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A171397 Earliest sequence containing no 11-term arithmetic progression. 0
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) is the sequence of all decimal integers that are created when base 10 numerials are interpreted as base 11 numerials.

General: Is p prime, then the earliest sequence containing no p-term arithmetic progression is created when base (p-1) numerials are interpreted as base p numerials.

REFERENCES

D. E. Arganbright, Mathematical Modeling with Spreadsheets, ABACUS, Vol. 3, #4(1986), 19-31.

LINKS

Table of n, a(n) for n=0..66.

MAPLE

seq (`if` (numboccur (10, convert (n, base, 11))=0, n, NULL), n=0..122);

CROSSREFS

Cf. A005836(for p=3), A020654(for p=5), A020657 = A037470(for p=7).

Different from A065039. - Alois P. Heinz, Sep 07 2011

Sequence in context: A063742 A014089 A065039 * A043095 A023804 A209931

Adjacent sequences:  A171394 A171395 A171396 * A171398 A171399 A171400

KEYWORD

nonn

AUTHOR

Paul Weisenhorn, Jul 11 2011

STATUS

approved

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Last modified January 22 04:27 EST 2020. Contains 331133 sequences. (Running on oeis4.)