Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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Okay...

What's next?

Dioes the recurrence problem you gave me come from the integral?

What is the analytical answer?

How did you check the value of a[20] here?

bobbym wrote:In numerical work you either know the answer or you do not. You can answer that question for yourself.

Anything further to discuss on NA?

How do I chek the value of a_20?

bobbym wrote:

Works well on book problems.

What are book problems?

What is the inspiration behind the characterisitc polynomial?

That's interesting.

What is a characteristic polynomial?

Let's discuss them

bobbym wrote:

In numerical work you either know the answer or you do not. You can answer that question for yourself.

Anything further to discuss on NA?

How do I chek the value of a_20?

Do you use python?

Is 0.005317989376992687 better?

Are you asking a program that has the following input and output?

Input: A set S, a natural r

Output: All possible subsets of S containing exactly r elements

The classic off-by one error

It does not match with your answer

Are you talking to me?

```
>>> n = 50
>>> a = 1241.0
>>> while n != 20:
... n -= 1
... a = ((1.0/n) - a)/8.0
...
>>> a
0.005585251327875914
```

You'll have to wait. I have a computer issue.

Does the sequence of a converge as n goes towards infty?

That is strange. I have never seen anything like this before

And if I work all the way down to a[0], would it converge to log(9/8)?

Something like 1 or 0 or Infinity?

There is a different way?

Why does it have to be in excel?

Oh I see!

What can we do about this?