In this paper, we prove that there are infinitely many triangular numbers which have two different ways to be decomposed as the product of two triangular numbers, each greater than 1 ...

How Much of Our Math Series Did You Retain? Try This Quiz. Test your knowledge of taxicab geometry, triangular numbers, the golden ratio and more.

But it was triangular numbers that got the ball rolling in the first place. Sign up here for the weekly Science Times newsletter.

2) It is a triangular number, that is of the series 1,3,6,10,15 … 3) It is a cube, or a cube plus 3. 4) It may be written as a single-digit prime followed by a two-digit prime.

Not deducible Harry and Tom have each found a 4-digit perfect square, a 3-digit perfect cube and a 3-digit triangular number that use 10 different digits, but with no leading zero. A triangular ...

Feng Qi, Qing Zou, Bai-Ni Guo, THE INVERSE OF A TRIANGULAR MATRIX AND SEVERAL IDENTITIES OF THE CATALAN NUMBERS, Applicable Analysis and Discrete Mathematics, Vol. 13, No. 2 (October 2019), pp.