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Answer by Brauer Suzuki for A polynomial from character theory

It plays a role in combinatorics. $g_n(k)$ counts the number of necklaces with $n$ beads chosen from $k$ colors (up to rotationary symmetry). See...

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A polynomial from character theory

Let $G$ be a finite group, and define $a(n)=\#\{g\in G\mid o(g)=n\}$.In problem 5.18 of Isaacs'Character Theory of Finite Groups, the following polynomial is...

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