@article{Lycan_Ponomarenko_2022, title={Sums of Two Generalized Tetrahedral Numbers}, volume={5}, url={https://journals.calstate.edu/pump/article/view/3329}, DOI={10.46787/pump.v5i0.3329}, abstractNote={<p>Expressing whole numbers as sums of figurate numbers, including tetrahedral numbers, is a longstanding problem in number theory. Pollock's tetrahedral number conjecture states that every positive integer can be expressed as the sum of at most five tetrahedral numbers. Here we explore a generalization of this conjecture to negative indices. We provide a method for computing sums of two generalized tetrahedral numbers up to a given bound, and explore which families of perfect powers can be expressed as sums of two generalized tetrahedral numbers.</p>}, journal={The PUMP Journal of Undergraduate Research}, author={Lycan, Ron and Ponomarenko, Vadim}, year={2022}, month={Dec.}, pages={206–217} }