On a Generalized Tribonacci Sequence
The well known Tribonacci sequence is a third order recurrence sequence. In this paper, we define other generalized Tribonacci sequence and establish some properties of this sequence using matrix methods.
feinberg1963 : Feinberg, M., Fibonacci--Tribonacci, The Fibonacci Quarterly, 1 : 3 (1963) pp. 71--74, 1963.
scott1977 : Scott, A., Delaney, T., Hoggatt Jr., V., The Tribonacci sequence, The Fibonacci Quarterly, 15:3, pp. 193--200, 1977.
shannon1977 : Shannon, A., Tribonacci numbers and Pascal's pyramid, The Fibonacci Quarterly, 15:3, pp. 268-275, 1977.
sloane : N.J.A. Sloane, The on-line encyclopedia of integer sequences, http://oeis.org/
spickerman1981 : Spickerman, W., Binet's formula for the Tribonacci sequence, The Fibonacci Quarterly, 20, pp.118--120, 1981.
yalavigi1972 : Yalavigi, C. C., Properties of Tribonacci numbers, The Fibonacci Quarterly, 10 : 3, pp. 231--246, 1972.
Copyright (c) 2019 Journal of Progressive Research in Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
TRANSFER OF COPYRIGHT
JPRM is pleased to undertake the publication of your contribution to Journal of Progressive Research in Mathematics.
The copyright to this article is transferred to JPRM(including without limitation, the right to publish the work in whole or in part in any and all forms of media, now or hereafter known) effective if and when the article is accepted for publication thus granting JPRM all rights for the work so that both parties may be protected from the consequences of unauthorized use.