Abstract
In this paper we give a new generalization of the Pell numbers in matrix representation. Also we extend the matrix representation and we show that the sums of the generalized order-$k$ Pell numbers could be derived directly using this representation. Further we present some identities, the generalized Binet formula and combinatorial representation of the generalized order-$k$ Pell numbers.
Citation
Emrah Kiliç. Dursun Taşci. "THE GENERALIZED BINET FORMULA, REPRESENTATION AND SUMS OF THE GENERALIZED ORDER-$k$ PELL NUMBERS." Taiwanese J. Math. 10 (6) 1661 - 1670, 2006. https://doi.org/10.11650/twjm/1500404581
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