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## #376 2013-12-12 17:39:53

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

I have no idea.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #377 2013-12-12 22:12:09

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #378 2013-12-13 02:53:17

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

Hm? I just expanded the GF.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #379 2013-12-13 04:09:41

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

And the method to get the prime coefficients?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #380 2013-12-13 04:19:01

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

``````gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000]
CoefficientList[gf[x], x][[
Table[1 + Prime[i], {i, 169, 783}]]] // Total``````

That's my code for the problem.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #381 2013-12-13 04:25:41

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

That does not get the right answer?!

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #382 2013-12-13 04:43:39

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

Subtract that from 1.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #383 2013-12-13 04:44:47

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

Are you sure?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #384 2013-12-13 04:47:43

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

Yes, I am.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #385 2013-12-13 04:55:59

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

Hi;

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #386 2013-12-13 05:15:16

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

That is not what I am getting.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #387 2013-12-13 05:20:25

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

``````gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000]
1 - CoefficientList[gf[x], x][[
Table[1 + Prime[i], {i, 169, 783}]]] // Total``````

You are running that?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #388 2013-12-13 05:54:45

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

No.

``````gf[x_] := Expand[Sum[x^i/6, {i, 1, 6}]^1000]
CoefficientList[gf[x], x][[
Table[1 + Prime[i], {i, 169, 783}]]] // Total``````

Last edited by anonimnystefy (2013-12-13 05:55:00)

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #389 2013-12-13 05:57:58

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

Okay, then you subtract from 1. I see.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #390 2013-12-13 06:22:08

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

Yes.

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #391 2013-12-13 06:24:06

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

Now do you see if there is any value to the question?

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #392 2013-12-13 06:28:12

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

Because it cannot be solved by hand?

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #393 2013-12-13 06:29:52

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

Yes, so it is a good exercise for using M.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #394 2013-12-13 06:35:33

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

Okay, that much I got. is there any other way other than just brute force expanding, eg., an asymptotic form or something?

8...

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #395 2013-12-13 06:37:24

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

Yes, there are many ways.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #396 2013-12-13 06:46:11

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

Like what?

5...

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #397 2013-12-13 06:49:54

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

They are all computationally intensive but an asymptotic form is possible. Also, there is my paper on this problem except much, much larger.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #398 2013-12-13 10:37:38

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

4...

Last edited by anonimnystefy (2013-12-13 10:38:18)

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

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## #399 2013-12-13 11:07:09

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 108,504

### Re: Generating Functions

I do not have a link but I have notes on it.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Online

## #400 2013-12-13 11:10:32

anonimnystefy
Real Member
From: Harlan's World
Registered: 2011-05-23
Posts: 16,030

### Re: Generating Functions

Can you post them somehow?

Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.

Offline