> For the complete documentation index, see [llms.txt](https://trizen.gitbook.io/sidef-lang/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://trizen.gitbook.io/sidef-lang/programming_tasks/p/padovan_n-step_number_sequences.md).

# Padovan n-step number sequences

```ruby
func padovan(N) {
    Enumerator({|callback|
        var n = 2
        var pn = [1, 1, 1]
        loop {
            pn << sum(pn[n-N .. (n++-1) -> grep { _ >= 0 }])
            callback(pn[-4])
        }
    })
}

for n in (2..8) {
    say "n = #{n} | #{padovan(n).first(25).join(' ')}"
}
```

## Output:

```
n = 2 | 1 1 1 2 2 3 4 5 7 9 12 16 21 28 37 49 65 86 114 151 200 265 351 465 616
n = 3 | 1 1 1 2 3 4 6 9 13 19 28 41 60 88 129 189 277 406 595 872 1278 1873 2745 4023 5896
n = 4 | 1 1 1 2 3 5 7 11 17 26 40 61 94 144 221 339 520 798 1224 1878 2881 4420 6781 10403 15960
n = 5 | 1 1 1 2 3 5 8 12 19 30 47 74 116 182 286 449 705 1107 1738 2729 4285 6728 10564 16587 26044
n = 6 | 1 1 1 2 3 5 8 13 20 32 51 81 129 205 326 518 824 1310 2083 3312 5266 8373 13313 21168 33657
n = 7 | 1 1 1 2 3 5 8 13 21 33 53 85 136 218 349 559 895 1433 2295 3675 5885 9424 15091 24166 38698
n = 8 | 1 1 1 2 3 5 8 13 21 34 54 87 140 225 362 582 936 1505 2420 3891 6257 10061 16178 26014 41830
```


---

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