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ISSN : 1226-0657

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Vol.20 No.3

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MODULAR TRIBONACCI NUMBERS BY MATRIX METHOD

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2013, v.20 no.3, pp.207-221
https://doi.org/10.7468/jksmeb.2013.20.3.207
Choi, Eunmi
Choi,, E. (2013). MODULAR TRIBONACCI NUMBERS BY MATRIX METHOD. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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 <TEX>$n$</TEX>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

Reference

1.

(1986). Higher order Fibonacci sequence modulo M. Fibonacci Quarterly, 24(2), 138-139.

2.

(1970). A Generalized Fibonacci sequence over an arbitrary ring. Fibonacci Quarterly, 8(2), 182-184.

3.

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

4.

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

5.

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

6.

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

7.

(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.

9.

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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