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Skolem Sequence

A Skolem sequence of order n is a sequence S={s_1,s_2,...,s_(2n)} of 2n integers such that

1. For every k in {1,2,...,n}, there exist exactly two elements s_i,s_j in S such that s_i=s_j=k, and

2. If s_i=s_j=k with i<j, then j-i=k.

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References

Colbourn, C. J. and Dinitz, J. H. (Eds.). "Skolem Sequences." Ch. 43 in CRC Handbook of Combinatorial Designs. Boca Raton, FL: CRC Press, pp. 457-461, 1996.

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Skolem Sequence

Cite this as:

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

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