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

Okay, what now?

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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,753

FindSequenceFunction[Flatten[ans],n]

Make sure in settings that it can not contact home. If you are using a firewall and you should be block it. This is a safety precaution. Also do not register the product or ever use it to go online. That means no contact with Alpha. Even though they want you to.

**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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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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It is still showing the same thing!

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Yes, now go FullSimplify[%]

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

Nevermind. I used FullSimplify[Expand[%]] and it worked. Let me try for 3 bins.

It won't return any function...

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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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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The Table command has been set to return a column vector, the second column.

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

What?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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ans=Table[Table[f[i,j],{i,2,2}],{j,1,15}]

See that 2,2? Change that to 3,3 and you will get the 3rd column.

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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I did. The FindSequenceFunction doesn't return a function.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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What does it spit out?

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Whenever M spits out the command just like you entered it that means it did not succeed. You will probably need more terms.

But before we do that let's return to 2,2. There was more surprises there.

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

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

What surprises?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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ans=Table[Table[f[i,j],{i,2,2}],{j,1,15}];

FindGeneratingFunction[Flatten[ans],x]//FullSimplify

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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*Last edited by anonimnystefy (2013-04-01 03:32:40)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Amazing yes?

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

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

It is. Does it work for 3,3?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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Your use of Table is not correct, change it to look like this:

ans=Table[f[i,j],{i,3,3},{j,1,15}]

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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Either way, it is not returning a GF...

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**bobbym****Administrator**- From: Bumpkinland
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Sometimes it is unable to answer the question and we have to try other ways.

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

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

Like what?

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
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All the work I have done is basically to coax M to give a little bit more. You can pick any problem and see some of it.

Numerical math rules!

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

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
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What would you do on this particular problem for 3,3?

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**bobbym****Administrator**- From: Bumpkinland
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It is unrealistic to expect M or anyone else to get a closed form for each of those columns. A closed form does not always exist.

The first thing I would do would be to treat the numerator and denominator separately. Then we can call forth the "Oracle at Delph!!!"

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

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

That would be the OEIS?

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