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Partitions, Young Tableaux and RSK
Integer partitions drawn as diagrams, the hook-length formula that counts their standard fillings, and the RSK correspondence.
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Compute
∑
λ
⊢
6
(
f
λ
)
2
\sum_{\lambda \vdash 6}(f^\lambda)^2
∑
λ
⊢
6
(
f
λ
)
2
.
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AC
7
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4
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6
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1
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3
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