q-Pell sequences and two identities of V.A. Lebesgue |
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| Affiliation: | a IMECC, UNICAMP C.P. 6065, 13081-970, Campinas, Sao Paulo, Brazil
b 108 Whitemore Laboratory, Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA |
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| Abstract: | We examine a pair of Rogers-Ramanujan type identities of Lebesgue, and give polynomial identities for which the original identities are limiting cases. The polynomial identities turn out to be q-analogs of the Pell sequence. Finally, we provide combinatorial interpretations for the identities. |
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| Keywords: | 05A17 05A19 11P83 |
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