Aim :An
interesting pattern arising out of integers known as Nasty numbers is studied
for its various characterizations.
Methodology:
The general forms of nasty number, double nasty number and triple nasty number
are obtained by utilizing substitution technique and solutions of quadratic
equation.
Results:.
Patterns of polygonal numbers ,centered polygonal numbers, pyramidal numbers
and centered pyramidal numbers in relation to nasty numbers are exhibited. The
process of obtaining pairs of pythagorean triangles and triples of pythagorean
triangles with the same area respectively has been illustrated.
Characterizations of pythagorean triangles in relation to nasty numbers have
been studied.
Conclusion:
The authors have taken care to present various characterizations of nasty
numbers in an elegant way. The researchers in this field may look for patterns
and relations to other choices of numbers.
Author(s) Details
Dr. S. Devibala
Sri Meenakshi
Government Arts College for Women (A), Affiliated to Madurai Kamaraj
University, Madurai, Tamil Nadu, India.
Dr. M. A. Gopalan
Shrimati Indira
Gandhi College, Affiliated to Bharathidasan University, Trichy- 620 002, Tamil
Nadu, India.
Please see
the link:- https://doi.org/10.9734/bpi/mono/978-93-47485-33-6
