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Skolem Sequences

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A Skolem sequence of order n is a sequence (s1, s2,...,s2n) of 2n integers satisfying the conditions:
i) for every k in {1,2,3...,n} there exist exactly two elements si and sj with si = sj = k and
ii) if si = sj = k with i<j then j - i = k.

Find all Skolem sequences of order 9 that satisfy s3 =1 , s18 = 8 and betweeny 2 equal integers, there is exactly one odd integer.

Prove that there is no Skolem sequence of order n, if n is of the form...


Solution Summary

Problems nvolving Skolem sequences are solved. The solution is well presented.