Title
General conditional recurrences
Abstract
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 Panario143863.88
Murat Sahin293.88
Qiang Wang323737.93
William Webb411.64