Pollock’s Generalized Tetrahedral Numbers Conjecture

Sums of Two Generalized Tetrahedral Numbers

“…In [1] and [2] it was found that 2 < k ≤ 4 for all n ∈ N. In this paper, we will prove two central theorems about sums of two GTNs.…”

“…= 13. By summing all pairs of GTNs with indices between -14 and 13 and choosing those sums which are in the interval [1,100], we get all the sums of two GTNs below 100, shown below. The numbers which are sums of two positive tetrahedral numbers ( [3]) form a subsequence, and are shown in bold.…”