On sums of triangular numbers
classification
🧮 math.NT
keywords
numberstriangularhavingindicesnaturalarxivconjecturedecompositions
read the original abstract
We study decompositions of natural numbers into triangular summands. For instance, we prove that any natural number can be represented as a sum of four triangular numbers, two of them having even indices and the other two having odd indices. This settles a conjecture by Zhi-Wei Sun (arXiv:1503.03743v8).
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