Talk:Constant-recursive sequence: Difference between revisions

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::{{done}} [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 16:54, 25 November 2021 (UTC)
 
== Missing from current article: discussion of integer/rational/algebraic/real/complex ==
 
If D is a subset of complex numbers, there are two possible definitions for a constant-recursive sequence over D:
 
- (Stronger def) A sequence satisfying a linear recurrence with coefficients in D
- (Weaker def) A sequence satisfying a linear recurrence with complex coefficients, such that all numbers in the sequence happen to lie in D
 
So we should probably clarify this, and state if/under what conditions the two definitions are equivalent. [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 21:02, 25 November 2021 (UTC)