논문KCI 등재
MODULAR TRIBONACCI NUMBERS BY MATRIX METHOD
한국수학교육학회|2013.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제20권 제3호|pp. 207-221
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참고문헌
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주제분류수학
초록
In this work we study the tribonacci numbers. We find a tribonacci triangle which is an analog of Pascal triangle. We also investigate an efficient method to compute any nth tribonacci numbers by matrix method, and find periods of the sequence by taking modular tribonacci number.
Abstract
In this work we study the tribonacci numbers. We find a tribonacci triangle which is an analog of Pascal triangle. We also investigate an efficient method to compute any nth tribonacci numbers by matrix method, and find periods of the sequence by taking modular tribonacci number.
참고문헌 (9)
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- D.L. Johnson, "Fibonacci sequences in groups", Irish Math. Soc. Bulletin, 56, pp.81~85 (2005)
- D. Kalman, "Generalized Fibonacci numbers by matrix method", Fibonacci Quarterly, 20(1), pp.73~76 (1982)
- E. Kilic, "Tribonacci sequences with certain indices and their sums", Ars. Combinatorics, 86, pp.13~22 (2008)
- E. Kilic, "Some double binomial sums related to Fibonacci, Pell and generalized ordered k-Fibonacci numbers", Rocky Mountain J. Math, 43(3), pp.975~987 (2013)
- D.D. Wall, "Fibonacci series modulo m", Amer. Math. Monthly, 67, pp.525~532 (1960)
- H.J. Wilcox, "Fibonacci sequences of period n in groups", Fibonacci Quarterly, 24(4), pp.356~361 (1986)
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