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... derivation by Lyness [13j 0 Relation (20) has been rediscovered dozens of times since 1793, and its application in probability., graph theory, analysis, and the enumeration of flexagons, etc„ , shows that the theorem is very usefuL In fact, it is a natural source of binomial identities,, We should l ...
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Recurrence relation

In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.The term difference equation sometimes (and for the purposes of this article) refers to a specific type of recurrence relation. However, ""difference equation"" is frequently used to refer to any recurrence relation.
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