Abstract
In this paper, we consider $Q_1(n)$ to be the number of partitions of $n$ into odd parts greater than one and provide new combinatorial interpretations for $Q_1(n)$. New linear relations involving Euler's partition function $p(n)$ and the overpartition function $\overline{p}(n)$ are obtained in this context.
Citation
Cristina Ballantine. Mircea Merca. "New Combinatorial Interpretations for the Partitions into Odd Parts Greater than One." Taiwanese J. Math. 27 (1) 1 - 21, February, 2023. https://doi.org/10.11650/tjm/220902
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