Identifies integer partitions divided by color, focusing on even parts only in blue, suggesting new mathematical identities.
We consider sequences counting integer partitions in two colors (red and blue) in which the even parts occur only in blue color. We focus on subsequences defined by constraints on the parity and color of the summands. We establish formulas for our sequences and deduce identities of integer partitions.
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Andrews et al. (2026) studied this question.
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