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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 31 | Number 3 | Year 2016 | Article Id. IJMTT-V31P526 | DOI : https://doi.org/10.14445/22315373/IJMTT-V31P526

On Pseudo Tribonacci Sequence


C.N.Phadte, Y.S.Valaulikar
Abstract

We consider third order non- homoge- neous recurrence relation to obtain Tri- bonacci like sequence called Pseudo Tri- bonacci Sequence. We obtain some general properties of this new sequence and extend it to obtain another generalised sequence using extended circular function.

Keywords
Tribonacci Sequence, Pseudo Fibonacci Sequence, Non homogeneous Re- currence Relation.
References

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[3] Feinberg M., \Fibonacci-Tribonacci", Fibonacci Quarterly 1, Vol.1(1963),pp.70-74.
[4] Mccarty \A Formula for Tribonacci Sequence", Fibonacci Quarterly 22, Vol.3(1984),pp.244-246.
[5] Mikusinski J.G. Sur les Fonctions, Annales de la Societe Polonaize de Mathematique, 21(1948), 46-51.
[6] Pethe S.P., Phadte C.N. "A Generalization of the Fibonacci Sequence" Kluwer Academic Publish- ers, Vol.5(1993), pp 465-472.
[7] Pethe S.P., Phadte C.N. "On second order non homogeneous Recurrence Relation" Annales Mathematicae et Informatcae, Vol.41(2013), pp 205-210.
[8] Phadte C.N.,Pethe S.P. "Trigonometric Pseudo Fibonacci Sequence" Notes on Number Theory and Discrete Mathematics, Vol.41(2013), pp 205- 210. Vol.21 no.3(2015),pp.7076.
[9] Phadte C.N. "Extended Pseudo Fibonacci Se- quence" Bulletin of the Marathwada Mathemati- cal Society, Vol.15,No 2(2014), pp 54-57.
[10] Phadte C.N.,Valaulikar Y.S. "Pseudo Fi- bonacci Polynomials And Some Properties" Bul- letin of the Marathwada Mathematical Society, Vol.16,No2(2015), pp 13-18.
[11] Phadte C.N.,Valaulikar Y.S. "A Generalization of Horadam Sequence" Communicated
[12] Spickerman W.R. \Binets Formula for the Tribonacci Sequence", Fibonacci Quarterly 20, Vol.2(1982),pp.118-120.
[13] T. koshy, Fibonacci and Lucas numbers with Applications, Wiley- Interscience, New York, 2001.

Citation :

C.N.Phadte, Y.S.Valaulikar, "On Pseudo Tribonacci Sequence," International Journal of Mathematics Trends and Technology (IJMTT), vol. 31, no. 3, pp. 1-6, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V31P526

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