
02315996
j
1997b.01012
Subramaniam, K.B.
On a coprime factorization of square triangular numbers.
Int. J. Math. Educ. Sci. Technol. 27, No. 6, 883891 (1996).
1996
Taylor \& Francis, Abingdon, Oxfordshire
EN
F60
square triangular numbers
hyperbolic functions
doi:10.1080/0020739960270613
The square roots of square triangular numbers, $U_n$, are split into two special coprime factors called the `major' and the `minor' factor, denoted by $\mu_n$ and $\lambda_n$. These factors on their own form two distinct sequences. Explicit formulae for $\mu_n$ and $\lambda_n$ are established, in purely algebraic form as well as in hyperbolic function form. A large number of sundry properties of $\mu_n$ and $\lambda_n$ are established. Finally, an application of Major factors in obtaining a reduction formula for $U_n$ is demonstrated. (orig.)