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Generalized Fibonacci numbers and dimer statistics

arXiv:cond-mat/0212334 · doi:10.1142/S0217984902004792

Abstract

We establish new product identities involving the -analogue of the Fibonacci numbers. We show that the identities lead to alternate expressions of generating functions for close-packed dimers on non-orientable surfaces.

4 pages, no figure, International Symposium on Frontiers of Science - In celebration of the 80th birthday of C. N. Yang, to appear in Modern Physics Letters B

Generalized Fibonacci numbers and dimer statistics · wovepaper