Find all the self-conjugate partitions of 2018, whose second part is 3. Find all the self-conjugate partitions of 2019, whose second part is 3.
I'm not sure how to approach this problem.
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Do you know the correspondence between self-conjugate partitions and partitions into distinct odd parts? – Angina Seng Dec 14 '19 at 09:05
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What do you mean by "are made up of distinct odd parts"? Do you mean this bijection? – joriki Dec 14 '19 at 09:28
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Yea, or " n is equal to the number of partitions of n into distinct odd parts" – user734715 Dec 14 '19 at 09:29
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That's not true. For instance, for $n=4$, the number of partitions of $n$ into distinct odd parts is $1$, not $4$. – joriki Dec 14 '19 at 09:38
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Okay, I have no idea on how to approach this. – user734715 Dec 14 '19 at 09:51