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A divisibility property of square triangular numbers. (English)
Int. J. Math. Educ. Sci. Technol. 26, No. 2, 284-286 (1995).
The author proves that the difference of any two alternate square triangular numbers t$_n$ is a multiple of 36 where t$_n$ is given by the formula t$_n$ = (((1+$\sqrt{2})^{2n}$ - (1-$\sqrt{2})^{2n}$)/4$\sqrt{2}))^{2}$.
Classification: F60