Murat SAHİN

The Gelin-Cesaro Identity in Some Conditional Sequences ABSTRACT | FULL TEXT

Anahtar Kelimeler:

-

Keywords:

Dickson, L. E. History of the Theory of Numbers, I (Chelsea Publishing Co., New York, 1966), p. 401.
Edson, M. and Yayenie, O. A new generalization of Fibonacci sequence and extended Binet’s formula, INTEGERS Electronic Journal of Combinatorial Number Theory 9, 639–654, 2009.
Horadam, A. F. Generating functions for powers of a certain generalized sequence of numbers, Duke Math J. 32, 437–446, 1965.
Howard, F. T. A Tribonacci identity, The Fibonacci Quarterly 39, 352–357, 2001.
Howard, F. T. The sum of the squares of two generalized Fibonacci numbers, The Fibonacci Quaterly 41, 80–84, 2003.
Lucas, E. Th´eorie des fonctions num´eriques simplement p´eriodiques, American Journal of Mathematics 1, 184–240, 1878.
Melham, R. S. and Shannon, A. G A generalization of the Catalan identity and some conse- quences, The Fibonacci Quarterly 33, 82–84, 1995.
Sahin, M. The generating function of a family of the sequences in terms of the continuant, Appl. Math. Comput. (2010), doi: 10.1016/j.amc.2010.12.011