What is the generating function for partitions into parts equal to $2, 5$ or $7$?
I know the function of distinct parts, but what if they don't have to be distinct?
2026-03-25 06:18:52.1774419532
Generating functions (parts equal to $2$)
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$$(1+x^2+x^4+x^6+\cdots)(1+x^5+x^{10}+x^{15}+\cdots)(1+x^7+x^{14}+x^{21}+\cdots)$$ which I'll leave you to simplify.