Max Sequence

A sequence defined from a Finite sequence $a_0$, $a_1$, ..., $a_n$ by defining $a_{n+1}=\max_i(a_i+a_{n-i})$.

See also Mex Sequence

References

Guy, R. K. ``Max and Mex Sequences.'' §E27 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 227-228, 1994.