arXiv:1909.03294 Abstract | arXiv Analytics

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On integer values of generating functions for sequences given by the Pell's equations

Published 2019-09-07Version 1

D.S.Hong and P. Pongsriiam gave a necessary and sufficient condition for the generating function for the Fibonacci numbers (resp. the Lucas numbers) to be an integer value, for rational numbers. We show that a similar result to them is obtained for generating functions for sequences given by the Pell's equations.

Categories: math.NT

Keywords: generating function, pells equations, integer value, sufficient condition, pongsriiam gave

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