ON SUMS OF TRIANGULAR NUMBERS AND PARTITIONS
Let
denote the number of representations of n as a sum of j triangular numbers, where j is a positive integer and n is a non-negative integer. We obtain formulas for
where
The first two of these formulas involve
(the number of partitions of n into odd parts), and
(the number of partitions of n), respectively.
triangular numbers, partitions.
