On Three Figurate Numbers with Same Values


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.

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