Authors :
A. Vijayasankar, Sharadha Kumar, M. A. Gopalan
Volume/Issue :
Volume 4 - 2019, Issue 11 - November
Google Scholar :
https://goo.gl/DF9R4u
Scribd :
https://bit.ly/2rzbYse
Abstract :
Explicit formulas for the ranks of Triangular
numbers, Hexagonal numbers, Centered Hexagonal
numbers, Centered Octagonal numbers, Centered
Decagonal numbers and Centered Dodecagonal numbers
satisfying the relations;
3,N 6,h 6,H
t t ct , t 3,N
t6,h
ct 8,M , t 3,N
t6,h
ct10,M ,
3,N 6,h 12,D
t t ct
are obtained.
Keywords :
Equality of polygonal numbers, Centered Hexagonal numbers, Centered Octagonal numbers, Centered Decagonal numbers, Centered Dodecagonal numbers, Hexagonal numbers, Triangular numbers.
Explicit formulas for the ranks of Triangular
numbers, Hexagonal numbers, Centered Hexagonal
numbers, Centered Octagonal numbers, Centered
Decagonal numbers and Centered Dodecagonal numbers
satisfying the relations;
3,N 6,h 6,H
t t ct , t 3,N
t6,h
ct 8,M , t 3,N
t6,h
ct10,M ,
3,N 6,h 12,D
t t ct
are obtained.
Keywords :
Equality of polygonal numbers, Centered Hexagonal numbers, Centered Octagonal numbers, Centered Decagonal numbers, Centered Dodecagonal numbers, Hexagonal numbers, Triangular numbers.