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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...

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    Solution Summary

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