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

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

And the method to get the prime coefficients?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

That does not get the right answer?!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

Are you sure?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

Okay, then you subtract from 1. I see.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

Re: Generating Functions

Yes, there are many ways.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

Re: Generating Functions

Can you post the link?

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 90,799

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.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,673

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

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