same method:
[original](https://math.stackexchange.com/questions/3876263/find-the-number-of-triples-k-1-k-2-k-3-of-integers-such-that) and [new question](https://math.stackexchange.com/questions/4047798/determine-the-number-of-integer-solutions-of-the-equation-x-1x-2x-3x/4047830?noredirect=1#comment8360405_4047830)
[original](https://math.stackexchange.com/questions/3876263/find-the-number-of-triples-k-1-k-2-k-3-of-integers-such-that) and [new question](https://math.stackexchange.com/questions/4047798/determine-the-number-of-integer-solutions-of-the-equation-x-1x-2x-3x/4047830?noredirect=1#comment8360405_4047830)