Configuring Generalized Form of Half Companion Sequence of Special Dio-Triples involving Centered Triacontagonal Number

S. Shanmuga Priya; G. Janaki

doi:10.26713/cma.v15i4.3281

Authors

S. Shanmuga Priya PG & Research Department of Mathematics, Cauvery College for Women (Autonomous) (Affiliated to Bharathidasan University), Annamalai Nagar, Trichy 620018, Tamilnadu, India https://orcid.org/0009-0009-8911-9158 (unauthenticated)
G. Janaki PG & Research Department of Mathematics, Cauvery College for Women (Autonomous) (Affiliated to Bharathidasan University), Annamalai Nagar, Trichy 620018, Tamilnadu, India https://orcid.org/0000-0002-9159-4275 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v15i4.3281

Keywords:

Extendability, Rank, Centered triacontagonal number, Dio-3-tuple, Perfect square

Abstract

In this paper, the generalized half companion sequence of a special Dio-3-tuple covering the centred triacontagonal number of different ranks with different properties are produced. Also, we analyze the extendability of 3-tuples to quadruples for some ranks by performing a suitable algebraic algorithm and various enthralling patterns are presented using MATLAB.

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