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Klarner-Rado Sequence

The thinnest sequence which contains 1, and whenever it contains x, also contains 2x, 3x+2, and 6x+3: 1, 2, 4, 5, 8, 9, 10, 14, 15, 16, 17, ... (OEIS A005658).

See also

Double-Free Set

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References

Guy, R. K. "Klarner-Rado Sequences." §E36 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 237, 1994.Klarner, D. A. and Rado, R. "linear combinations of Sets of Consecutive Integers." Amer. Math. Monthly 80, 985-989, 1973.Sloane, N. J. A. Sequence A005658/M0969 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Klarner-Rado Sequence

Cite this as:

Weisstein, Eric W. "Klarner-Rado Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Klarner-RadoSequence.html

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