### Insertion Of Terms Satisfying The Recurrence Relations Of Horadam Sequence And Bifurcating Fibonacci Sequences

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

Agnes M., Buenaventura N., Labao J. J., Soria C. K., Limbaco K. A., and L. Natividad, Inclusion of inserted terms (Fibonacci mean) in a Fibonacci sequence, Math Investigatory Project, Central Luzon State University, 2010.

Bilgici G., New generalizations of Fibonacci and Lucas Sequences, Applied Mathematical Sciences, Vol. 8, No. 29, 2014, 1429 – 1437.

Diwan D. A, Shah D. V., Extended Binet’s formula for the class of generalized Fibonacci sequences, Proceeding 19th Annual Cum 4th International Conference of Gwalior academy of Mathematical Sciences (GAMS), SVNIT, surat, Oct 3-6, 2014, 109 – 113.

Diwan D. A, Shah D. V., Extended Binet’s formula for the class of generalized Fibonacci sequences, VNSGU Journal of Science and Technology, Vol. 4, No. 1, 2015, 205 – 210.

Diwan D. A, Shah D. V., Explicit and recursive formulae for the class of generalized Fibonacci sequence, International Journal of Advanced Research in Engineering, Science and Management, Vol. 1, Issue 10, July 2015, 1 – 6.

Edson M., Yayenie O., A new generalization of Fibonacci sequence and Extended binet’s formula, Integers, Vol. 9, 2009, 639 – 654.

Horadam A. F., Basic properties of certain generalized sequence of numbers, Fibonacci Quarterly, 3, 1965, 161-176.

Howell P., Nth term of the Fibonacci sequence, from Math Proofs: Interesting mathematical results and elegant solutions to various problems, http://mathproofs.blogspot.com/2005/04/nth-term-offibonacci-sequence.

Verma, Bala A., On Properties of generalized Bi-variate Bi-Periodic Fibonacci polynomials, International journal of Advanced science and Technology,29(3), 2020, 8065–8072.

Yayenie O., A note on generalized Fibonacci sequence, Applied Mathematics and computation, 217, 2011, 5603–5611.

DOI: http://dx.doi.org/10.23755/rm.v42i0.639

### Refbacks

- There are currently no refbacks.

Copyright (c) 2022 Khushbu J. Das, Devbhadra V. Shah

This work is licensed under a Creative Commons Attribution 4.0 International License.

Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.