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Volume 4, Issue 11, November – 2019 International Journal of Innovative Science and Research Technology ISSN No:-2456-2165 On Three Figurate Numbers with Same Values A. Vijayasankar1, Assistant Professor, Department of Mathematics, National College, Affiliated to Bharathidasan University Trichy-620 001, Tamil Nadu, India Sharadha Kumar2, M. A. Gopalan3, Research Scholar, Professor, Department of Mathematics, Department of Mathematics, Shrimati Indira Gandhi College, National College, Affiliated to Bharathidasan University, Affiliated Bharathidasan University, Trichy-620 001, Tamil Nadu, India Trichy-620 002, Tamil Nadu, India Abstract:- Explicit formulas for the ranks of Triangular Centered Octagonal Number of rank M numbers, Hexagonal numbers, Centered Hexagonal ct8,M 4MM 11 numbers, Centered Octagonal numbers, Centered Decagonal numbers and Centered Dodecagonal numbers Centered Decagonal Number of rank M satisfying the relations; ct10,M 5MM 11 t 3, N t 6,h ct 6, H , t3,N t6,h ct 8,M , t 3,N t6,h ct 10,M , t t ct 3,N 6,h 12,D are obtained. Centered Dodecagonal Number of rank D ct12,D 6DD 11 Keywords:- Equality of polygonal numbers, Centered Hexagonal numbers, Centered Octagonal numbers, Triangular Number of rank N Centered Decagonal numbers, Centered Dodecagonal NN 1 numbers, Hexagonal numbers, Triangular numbers. t3, N 2 Mathematics Subject Classification: 11D09, 11D99 Hexagonal Number of rank h 2 I. INTRODUCTION t6,h 2h h The theory of numbers has occupied a remarkable II. METHOD OF ANALYSIS position in the world of mathematics and it is unique among the mathematical sciences in its appeal to natural human 1. Equality of t t ct curiosity.
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