A sequence of 
0s and 1s is called an odd sequence if each of the 
sums 
for 
, 1, ..., 
is odd.
Odd Sequence
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References
Guy, R. K. "Odd Sequences." §E38 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 238-239, 1994.Referenced on Wolfram|Alpha
Odd SequenceCite this as:
Weisstein, Eric W. "Odd Sequence." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/OddSequence.html