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recurrence relation : FOLDOC | recurrence relation An {equation} that defines each element of a {sequence} in terms of one or more earlier elements. E.g. The Fibonacci sequence, X[1] = 1 X[2] = 1 X[n] = X[n-1] + X[n-2]
Some recurrence relations can be converted to "closed form" where X[n] is defined purely in terms of n, without reference to earlier elements. (2008-01-14)
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