# Hofstadter-Conway 10 000 sequence

```ruby
class HofstadterConway10000 {
  has sequence = [nil, 1, 1]
  method term(n {.is_pos}) {
    var a = sequence
    {|i| a[i] = a[a[i-1]]+a[i-a[i-1]] } << a.len..n
    a[n]
  }
}
 
var hc = HofstadterConway10000()
 
var mallows = nil
for i in (1..19) {
  var j = i+1
  var (max_n, max_v) = (-1, -1)
  for n in (1<<i .. 1<<j) {
    var v = (hc.term(n) / n)
    (max_n, max_v) = (n, v) if (v > max_v)
    mallows = n if (v >= 0.55)
  }
  say ("maximum between 2^%2d and 2^%2d occurs at%7d: %.8f" % (i, j, max_n, max_v))
}
 
say "the mallows number is #{mallows}"
```

#### Output:

```
maximum between 2^ 1 and 2^ 2 occurs at      3: 0.66666667
maximum between 2^ 2 and 2^ 3 occurs at      6: 0.66666667
maximum between 2^ 3 and 2^ 4 occurs at     11: 0.63636364
maximum between 2^ 4 and 2^ 5 occurs at     23: 0.60869565
maximum between 2^ 5 and 2^ 6 occurs at     44: 0.59090909
maximum between 2^ 6 and 2^ 7 occurs at     92: 0.57608696
maximum between 2^ 7 and 2^ 8 occurs at    178: 0.56741573
maximum between 2^ 8 and 2^ 9 occurs at    370: 0.55945946
maximum between 2^ 9 and 2^10 occurs at    719: 0.55493741
maximum between 2^10 and 2^11 occurs at   1487: 0.55010087
maximum between 2^11 and 2^12 occurs at   2897: 0.54746289
maximum between 2^12 and 2^13 occurs at   5969: 0.54414475
maximum between 2^13 and 2^14 occurs at  11651: 0.54244271
maximum between 2^14 and 2^15 occurs at  22223: 0.54007110
maximum between 2^15 and 2^16 occurs at  45083: 0.53878402
maximum between 2^16 and 2^17 occurs at  89516: 0.53704366
maximum between 2^17 and 2^18 occurs at 181385: 0.53602007
maximum between 2^18 and 2^19 occurs at 353683: 0.53464543
maximum between 2^19 and 2^20 occurs at 722589: 0.53377923
the mallows number is 1489
```


---

# Agent Instructions: Querying This Documentation

If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter:

```
GET https://trizen.gitbook.io/sidef-lang/programming_tasks/h/hofstadter-conway_10_000_sequence.md?ask=<question>
```

The question should be specific, self-contained, and written in natural language.
The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.