SUMS OF PRODUCTS OF THE TERMS OF THE GENERALIZED LUCAS SEQUENCE {Vkn}
Abstract
Keywords
References
- Carlitz, L. Generating function for powers of a certain sequences of numbers, Duke Math. J. 29, 521–537, 1962.
- Dujella, A. A bijective proof of Riordan’s theorem on powers of Fibonacci numbers, Discrete Math. 199, 217–220, 1999.
- Golomb, S. W. Problem 4720, Amer. Math. Monthly 64, 49, 1957.
- Hoggatt Jr., V. E. Fibonacci numbers and generalized binomial coefficients, The Fibonacci Quarterly 5, 383–400, 1967.
- Horadam, A. F. Generating functions for powers of a certain generalized sequence of num- bers, Duke Math. J. 32, 437–446, 1965.
- Kılı¸c, E. and Stanica, P. Factorizations and representations of second linear recurrences with indices in arithmetic progressions, Bol. Mex. Math. Soc. 15 (1), 23–36, 2009.
- Kılı¸c, E. and Stanica, P. Factorizations and representations of binary polynomial recurrences by matrix methods, Rocky Mount. J. Math., in press. Riordan, J. Generating functions for powers of Fibonacci numbers, Duke Math. J. 29, 5–12, Riordan, J. Combinatorial Identities (J. Wiley, New York, 1968).
- Riordan, J. Inverse relations and combinatorial identities, Amer. Math. Monthly 71 (5), –498, 1964.
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Authors
E. Kılıç
This is me
Y.t. Ulutaş
This is me
Yücel Türker Ulutaş
This is me
n. Ömür
This is me
Publication Date
February 1, 2011
Submission Date
May 12, 2014
Acceptance Date
-
Published in Issue
Year 2011 Volume: 40 Number: 2