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arXiv · 1610.06376

Efficient computation of terms of linear recurrence sequences of any order

Dmitry I. Khomovsky
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Abstract

In this paper we give efficient algorithms for computing second-, third-, and fourth-order linear recurrences. We also present an algorithm scheme for computing terms with the indices $N,\ldots,N+n-1$ of an $n$th-order linear recurrence. Unlike Fiduccia's algorithm our approach uses certain formulas for modular polynomial squarings.

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Dmitry I. Khomovsky. 2016-10-20. Efficient computation of terms of linear recurrence sequences of any order. https://arxiv.org/abs/1610.06376

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