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## #301 2012-05-05 05:22:10

bobbym

Online

### Re: Generating Functions

Hmmmm. So I guess the rocket will only get 1 / 5 of the way to the moon?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #302 2012-05-05 05:23:39

anonimnystefy
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### Re: Generating Functions

Good enough.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #303 2012-05-05 05:34:18

bobbym

Online

### Re: Generating Functions

If that is all you can get.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #304 2012-11-03 08:02:52

anonimnystefy
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### Re: Generating Functions

With a better machine this Maxima code:

#### Code:

```gf1(x):=ratexpand(ratsimp((gf(x))^1000));
sum(prime(i)*coeff(gf1(x),x^i),i,1,6000);```

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #305 2012-11-03 08:36:43

bobbym

Online

### Re: Generating Functions

Hi;

So what is the answer? Those men have been stuck in space for a long time.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #306 2012-11-03 08:57:21

anonimnystefy
Real Member

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### Re: Generating Functions

It doesn't have enough memory to evaluate the sum...

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #307 2012-11-03 09:00:43

bobbym

Online

### Re: Generating Functions

Do you have any other ideas that might help?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #308 2012-11-03 09:05:52

anonimnystefy
Real Member

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### Re: Generating Functions

Not really... Have you solved it?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #309 2012-11-03 09:10:11

bobbym

Online

### Re: Generating Functions

I was thinking about a method you might try.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #310 2012-11-03 09:13:07

anonimnystefy
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### Re: Generating Functions

Which one?

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #311 2012-11-03 09:17:19

bobbym

Online

### Re: Generating Functions

You know that the lowest power in the expansion is 1000. The lowest prime in the expansion is 1009. What is the highest exponent in the expansion?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #312 2012-11-03 09:22:38

anonimnystefy
Real Member

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### Re: Generating Functions

6000. 5987 is the largest prime below 6000.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #313 2012-11-03 09:32:02

bobbym

Online

### Re: Generating Functions

Does maxima have a Coefficients command?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #314 2012-11-03 09:36:01

anonimnystefy
Real Member

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### Re: Generating Functions

Didn't you see it get used in the code above. It's the coeff() function.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #315 2012-11-03 09:48:09

bobbym

Online

### Re: Generating Functions

It is a different command in geogebra!

Taking a little eating break.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #316 2012-11-03 09:59:53

anonimnystefy
Real Member

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### Re: Generating Functions

Geogebra?

Okay, see you later...

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #317 2012-11-03 10:59:41

bobbym

Online

### Re: Generating Functions

Geogebra has maxima inside it!

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #318 2012-11-03 11:05:10

anonimnystefy
Real Member

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### Re: Generating Functions

I know that. But, why did you mention a function for coefficients?

Last edited by anonimnystefy (2012-11-03 11:05:42)

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #319 2012-11-03 11:07:31

bobbym

Online

### Re: Generating Functions

It is one of the ways you can get an answer. In geogebra it is Coefficients[poly,variable], notice I cannot pick out anyone I want without further processing.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #320 2012-11-03 11:09:39

anonimnystefy
Real Member

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### Re: Generating Functions

But it would have to sum all coefficients of prime-numbered powers if x, which is a lot of computing.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #321 2012-11-03 11:14:04

bobbym

Online

### Re: Generating Functions

Yes, it is a tough problem. Ever heard of Doc Thorne?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #322 2012-11-03 11:17:06

anonimnystefy
Real Member

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### Re: Generating Functions

Yes. And only that-heard.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #323 2012-11-03 11:24:02

bobbym

Online

### Re: Generating Functions

You have heard of him?

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #324 2012-11-03 11:37:43

anonimnystefy
Real Member

Offline

### Re: Generating Functions

Yes

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #325 2012-11-03 11:39:11

bobbym

Online

### Re: Generating Functions

That is why I posed this problem.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.