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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.20 No.3

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MODULAR TRIBONACCI NUMBERS BY MATRIX METHOD

MODULAR TRIBONACCI NUMBERS BY MATRIX METHOD

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2013, v.20 no.3, pp.207-221
https://doi.org/10.7468/jksmeb.2013.20.3.207
Choi, Eunmi (Department of Mathematics, Hannam University)
Choi, Eunmi. (2013). MODULAR TRIBONACCI NUMBERS BY MATRIX METHOD, 20(3), 207-221, https://doi.org/10.7468/jksmeb.2013.20.3.207

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 $n$th tribonacci numbers by matrix method, and find periods of the sequence by taking modular tribonacci number.

keywords
Fibonacci, tribonacci sequence, period of tribonacci sequence

참고문헌

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(1989). On the periods of the Fibonacci sequence modulo M. Fibonacci Quarterly, 27(1), 11-13.

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(2005). Fibonacci sequences in groups. Irish Math. Soc. Bulletin, 56, 81-85.

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(1982). Generalized Fibonacci numbers by matrix method. Fibonacci Quarterly, 20(1), 73-76.

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(2008). Tribonacci sequences with certain indices and their sums. Ars. Combinatorics, 86, 13-22.

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(2013). Some double binomial sums related to Fibonacci, Pell and generalized ordered k-Fibonacci numbers. Rocky Mountain J. Math., 43(3), 975-987. 10.1216/RMJ-2013-43-3-975.

8.

(1960). Fibonacci series modulo m. Amer. Math. Monthly, 67, 525-532. 10.2307/2309169.

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(1986). Fibonacci sequences of period n in groups. Fibonacci Quarterly, 24(4), 356-361.

한국수학교육학회지시리즈B:순수및응용수학

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