Odd Sequence

A sequence of n 0s and 1s is called an odd sequence if each of the n sums sum_(i=1)^(n-k)a_ia_(i+k) for k=0, 1, ..., n-1 is odd.

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Guy, R. K. "Odd Sequences." §E38 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 238-239, 1994.

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Odd Sequence

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Weisstein, Eric W. "Odd Sequence." From MathWorld--A Wolfram Web Resource.

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