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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
오류제보하기
The Fibonacci sequence is a sequence of numbers that has been studied for hundreds of years. In this paper, we introduce the modified $k$-Fibonacci-like sequence and prove Binet's formula for this sequence and then use it to introduce and prove the Catalan, Cassini, and d'Ocagne identities for the modified $k$-Fibonacci-like sequence. Also, the ordinary generating function of this sequence is stated.
목차
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참고문헌 (12)
참고문헌 신청
V. H. Badshah / 2012 / Generalized Fibonacci-like sequence and its properties / Int. J. Contemp. Math. Sci 7(21-24):1155~1164
P. Catarino / 2014 / On some identities for k-Fibonacci sequence / Int. J. Contemp. Math. Sci 9(1):37~42
M. Edson / 2011 / The k-periodic Fibonacci sequence and an extended Binet’s formula / Integers 11(A32):12
M. Edson / 2009 / A new generalization of Fibonacci sequences and extended Binet’s formula / Integers 9(A48):639~654
S. Falcon / 2011 / On the k-Lucas Numbers / Int. J. Contemp. Math. Sci 6(21):1039~1050
P. Catarino / 2014 / On some identities for k-Fibonacci sequence / Int. J. Contemp. Math. Sci 9(1):37~42
M. Edson / 2011 / The k-periodic Fibonacci sequence and an extended Binet’s formula / Integers 11(A32):12
M. Edson / 2009 / A new generalization of Fibonacci sequences and extended Binet’s formula / Integers 9(A48):639~654
S. Falcon / 2011 / On the k-Lucas Numbers / Int. J. Contemp. Math. Sci 6(21):1039~1050
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