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permutations with property

asked 2017-04-03 15:41:41 -0500

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How can I get a list of permutations $\sigma \in \mathfrak{S}_n$ with the property that $\sigma(i) \geq i-1$ for all $i =1, dots, n.$

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answered 2017-04-04 03:52:09 -0500

FrédéricC gravatar image

Like that

sage: n=4
sage: [sigma for sigma in Permutations(n) if all(sigma(i)>=i-1 for i in range(1,n+1))]
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Asked: 2017-04-03 15:41:41 -0500

Seen: 352 times

Last updated: Apr 04