A Meeussen sequence is a strictly increasing sequence of positive integers (
, 
, ...) such that 
, every nonnegative
integer is the sum of a finite subset
of the 
,
and each integer 
is the sum of a unique
such subset. Cook and Kleber (2000) give a bijection
between Meeussen sequences and tournament sequences.
Meeussen Sequence
See also
Tournament SequenceExplore with Wolfram|Alpha
References
Cook, M. and Kleber, M. "Tournament Sequences and Meeussen Sequences." Elec. J. Combin. 7, R44, 2000. https://doi.org/10.37236/1522.Referenced on Wolfram|Alpha
Meeussen SequenceCite this as:
Weisstein, Eric W. "Meeussen Sequence." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MeeussenSequence.html