# 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 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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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))]
```

Asked: **
2017-04-03 15:41:41 -0500
**

Seen: **377 times**

Last updated: **Apr 04 '17**

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