An Oblong number is a number which is the product of two consecutive integers, that is, a number of the form

There exist infinitely many triplets of positive integers , for which the numbers

, ,

form an increasing arithmetic progression.

The required property holds for

(1)

n is a positive integer

since in this case the numbers

, ,

form the arithmetic progression with the common difference

and for

(2)

the numbers

,

,

form an arithmetic progression:

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