# permutations with property

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

permutations with property

**
asked 2017-04-03 22:41:41 +0100 **

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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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1

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 22:41:41 +0100 **

Seen: **650 times**

Last updated: **Apr 04 '17**

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