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In this note, we consider a generalized Fibonacci sequence $\{q_n\}$. We give a generating matrix for $\{q_n\}$. With the aid of this matrix, we derive and re-prove some properties involving terms of this sequence
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참고문헌 (13)
참고문헌 신청
A. Borges / 2014 / Two-by-two matrices involving k-Fibonacci and k-Lucas sequences / Applied Mathematical Sciences 8(34):659~1666
J. Ercolano / 1979 / Matrix generators of Pell sequences / Fibonacci Quart 17(1):71~77
M. Edson / 2011 / The k-periodic Fibonacci sequence and extended Binet's formula / Integer 11:1~12
M. Edson / 2009 / A new generalization of Fibonacci sequence and ex-tended Binet's formula / Integer 9:639~654
Y. K. Gupta / 2012 / Generalized Fibonacci Sequences / Theoretical Mathematics and Applications 2(2):115~124
J. Ercolano / 1979 / Matrix generators of Pell sequences / Fibonacci Quart 17(1):71~77
M. Edson / 2011 / The k-periodic Fibonacci sequence and extended Binet's formula / Integer 11:1~12
M. Edson / 2009 / A new generalization of Fibonacci sequence and ex-tended Binet's formula / Integer 9:639~654
Y. K. Gupta / 2012 / Generalized Fibonacci Sequences / Theoretical Mathematics and Applications 2(2):115~124
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