JP Journal of Algebra, Number Theory and Applications
Volume 9, Issue 1, Pages 55 - 59
(October 2007)
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ON SUMS OF TRIANGULAR NUMBERS AND PARTITIONS
Neville Robbins (U. S. A.)
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Abstract: 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. |
Keywords and phrases: triangular numbers, partitions. |
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