id: 02315996
dt: j
an: 1997b.01012
au: Subramaniam, K.B.
ti: On a coprime factorization of square triangular numbers.
so: Int. J. Math. Educ. Sci. Technol. 27, No. 6, 883-891 (1996).
py: 1996
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: F60
ut: square triangular numbers; hyperbolic functions
ci:
li: doi:10.1080/0020739960270613
ab: 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 $μ_n$ and $λ_n$. These factors on their own form
two distinct sequences. Explicit formulae for $μ_n$ and $λ_n$ are
established, in purely algebraic form as well as in hyperbolic function
form. A large number of sundry properties of $μ_n$ and $λ_n$ are
established. Finally, an application of Major factors in obtaining a
reduction formula for $U_n$ is demonstrated. (orig.)
rv: