Independent Sequence
An infinite sequence of positive integers
is called weakly independent if any relation
with
or
and
,
except finitely often, implies
for all
.
An infinite sequence of positive integers
is called strongly independent if any relation
,
with
,
,
or
and
except finitely often, implies
for all
.
See also
Strongly Independent, Weakly IndependentExplore with Wolfram|Alpha
References
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 136, 1994.Referenced on Wolfram|Alpha
Independent SequenceCite this as:
Weisstein, Eric W. "Independent Sequence." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/IndependentSequence.html