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Periodicity of the parity of a partition function related to making change

Author(s): Patrick Costello; Michael Osborne.
Journal: Math. Comp. 77 (2008), 1749-1754.
MSC (2000): Primary 11P83
Posted: February 13, 2008
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Abstract: The solutions to a change problem form restricted partitions. For one particular change problem, we look at the sequence representing the parity of these restricted partition values. It appears that the period of this sequence has not been studied. Through recurrences involving binomial coefficients, we find that the sequence has a period of $ 200$.

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Additional Information:

Patrick Costello
Affiliation: Department of Mathematics and Statistics, Eastern Kentucky University, Richmond, Kentucky 40475-3102
Email: pat.costello@eku.edu

Michael Osborne
Affiliation: Department of Mathematics and Statistics, Eastern Kentucky University, Richmond, Kentucky 40475-3102

DOI: 10.1090/S0025-5718-08-02095-4
PII: S 0025-5718(08)02095-4
Keywords: Partitions, parity
Received by editor(s): August 2, 2007
Received by editor(s) in revised form: August 22, 2007
Posted: February 13, 2008
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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