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Compute E(A2k)11= mean(l2k)
= (2k)th moment
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Verify
that the semicircle is the only distribution
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with
these moments
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(A2k)11 = SA1xAxy…AwzAz1
“paths” of length 2k
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Need
only count number of special paths of length
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2k on
k objects (all other terms 0 or
negligible!)
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This
is a Catalan Number!
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