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Linear recurrence

Revision as of 23:32, 2 June 2011 by Minsoens (talk | contribs) (Created page with 'A sequence <math>\{a_{0},a_{1},a_{2},\ldots\}</math> is said to obey a '''linear recurrence of order <math>k</math>''' if there exist constants <math>c_{0},c_{1},\ldots,c_{k-1}</…')
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A sequence $\{a_{0},a_{1},a_{2},\ldots\}$ is said to obey a linear recurrence of order $k$ if there exist constants $c_{0},c_{1},\ldots,c_{k-1}$ such that \[a_{n+k} = \sum_{i=0}^{k-1}c_{i}a_{n+i}\] for all $n \ge 0$.

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