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Jun 9, 2020 at 16:09 comment added Gerhard Paseman Another elementary observation: k*4^n has triangular divisors where k is less than 4^n (oops, less than 2^(n+1). This means every number m is within about sqrt(m) (again oops, more like m to the two thirds) of such a number, and gives a weak logarithmic bound to the number of terms such a sum. One might be able to tweak this to get better bounds. Gerhard "Solve Sum Bit By Bit" Paseman, 2020.06.09.
Jun 9, 2020 at 16:01 history answered JoshuaZ CC BY-SA 4.0