The Journal of the Indian Mathematical Society

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On Integers which are Ratios of Two Triangular Numbers


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1 Department of Mathematics and Statistics, University School of Sciences, Gujarat University, Ahmedabad, India
     

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For a positive integer n, the nth. triangular number Tn is defined by Tn ==1/2n(n + 1). For a given integer t, we consider the equation

Ta/Tb = t  (1)

If there is a solution Ta, Tb of (1),


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  • On Integers which are Ratios of Two Triangular Numbers

Abstract Views: 224  |  PDF Views: 0

Authors

C. G. Khatri
Department of Mathematics and Statistics, University School of Sciences, Gujarat University, Ahmedabad, India
A. M. Vaidya
Department of Mathematics and Statistics, University School of Sciences, Gujarat University, Ahmedabad, India

Abstract


For a positive integer n, the nth. triangular number Tn is defined by Tn ==1/2n(n + 1). For a given integer t, we consider the equation

Ta/Tb = t  (1)

If there is a solution Ta, Tb of (1),