| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4627727 | Applied Mathematics and Computation | 2014 | 12 Pages |
Abstract
A general conditional recurrence sequence {qn}{qn} is one in which the recurrence satisfied by qnqn depends on the residue of n modulo some integer r⩾2r⩾2. The properties of such sequences are studied, and in particular it is shown that any such sequence {qn}{qn} satisfies a single recurrence equation not dependent on the modulus r. We also obtain generating functions and Binet-like formulas for such sequences.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Daniel Panario, Murat Sahin, Qiang Wang, William Webb,