Abstract | ||
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general conditional recurrence sequence {q"n} is one in which the recurrence satisfied by q"n depends on the residue of n modulo some integer r>=2. The properties of such sequences are studied, and in particular it is shown that any such sequence {q"n} satisfies a single recurrence equation not dependent on the modulus r. We also obtain generating functions and Binet-like formulas for such sequences. |
Year | DOI | Venue |
---|---|---|
2014 | 10.1016/j.amc.2014.05.108 | Applied Mathematics and Computation |
Keywords | Field | DocType |
continuants,linear recurrences,fibonacci sequences,integer partitions,characteristic polynomials,conditional recurrences | Integer,Generating function,Discrete mathematics,Combinatorics,Modulo,Partition (number theory),Mathematics | Journal |
Volume | Issue | ISSN |
243 | 1 | 0096-3003 |
Citations | PageRank | References |
1 | 0.63 | 2 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Daniel Panario | 1 | 438 | 63.88 |
Murat Sahin | 2 | 9 | 3.88 |
Qiang Wang | 3 | 237 | 37.93 |
William Webb | 4 | 1 | 1.64 |