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## #51 2013-04-17 03:45:00

anonimnystefy
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### Re: Julianthemath's number 3

Have you checked if it works?

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

## #52 2013-04-17 03:47:52

bobbym

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### Re: Julianthemath's number 3

Hohohohohohoooo, that is a good one. I needed that.

Yes, I did and it seems to work.

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.

## #53 2013-04-17 03:59:37

anonimnystefy
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### Re: Julianthemath's number 3

Okay. Good. Like you said, you can never trust a CAS.

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

## #54 2013-04-17 04:03:34

bobbym

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### Re: Julianthemath's number 3

What now?

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.

## #55 2013-04-17 04:08:45

anonimnystefy
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### Re: Julianthemath's number 3

Can you run a_n/(1/5*(-2)^n+2^(n-1)) for n=1,2,3,... for me and tell me the results?

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

## #56 2013-04-17 04:10:47

bobbym

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### Re: Julianthemath's number 3

Hi;

Yes, but what is the LHS and the initial value?

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.

## #57 2013-04-17 04:12:04

anonimnystefy
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### Re: Julianthemath's number 3

No, I just need the value of that expression for n=1,2,3,... a_n is the sequence we were just working on.

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

## #58 2013-04-17 04:14:46

bobbym

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### Re: Julianthemath's number 3

The best I can do is divide each term of that sequence by the denominator you are providing in #55

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.

## #59 2013-04-17 04:16:32

anonimnystefy
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### Re: Julianthemath's number 3

That is exactly what I want you to do.

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

## #60 2013-04-17 04:38:40

bobbym

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### Re: Julianthemath's number 3

Hi;

Sorry, got delayed.

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.

## #61 2013-04-17 04:42:36

anonimnystefy
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### Re: Julianthemath's number 3

Are sure you used the denominator I gave you?

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

## #62 2013-04-17 04:44:15

bobbym

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### Re: Julianthemath's number 3

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.

## #63 2013-04-17 04:51:57

anonimnystefy
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### Re: Julianthemath's number 3

Ah, sorry. And what about when the denominator is 2^n-(-2)^(n+1)/5.

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

## #64 2013-04-17 04:55:31

bobbym

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### Re: Julianthemath's number 3

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.

## #65 2013-04-17 04:59:22

anonimnystefy
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### Re: Julianthemath's number 3

Hm, so it is good as an asymptotic form.

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

## #66 2013-04-17 05:04:41

bobbym

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### Re: Julianthemath's number 3

Yes, it looks like that. You might play with it a little more for a closed form.

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.

## #67 2013-04-17 05:32:08

anonimnystefy
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### Re: Julianthemath's number 3

I wonder if there is an application of xor in combinatorics.

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

## #68 2013-04-17 14:17:58

bobbym

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### Re: Julianthemath's number 3

How did you do with getting a closed form?

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.

## #69 2013-04-17 18:16:05

anonimnystefy
Real Member

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### Re: Julianthemath's number 3

I got nowhere.

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

## #70 2013-04-17 18:59:42

bobbym

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### Re: Julianthemath's number 3

Okay, how did you get the asymptotic form?

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.

## #71 2013-04-17 19:28:06

anonimnystefy
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### Re: Julianthemath's number 3

I just reduced the exact form, thinking that it might be easier to work with if we wanted to get anything more about the sequence.

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

## #72 2013-04-17 19:30:33

bobbym

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### Re: Julianthemath's number 3

I do not understand, "reduced the exact form?" You have the exact form?

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.

## #73 2013-04-17 19:31:49

anonimnystefy
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### Re: Julianthemath's number 3

I used the one you got!

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

## #74 2013-04-17 19:37:45

bobbym

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### Re: Julianthemath's number 3

I got? Which, what and where?

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.

## #75 2013-04-18 00:30:08

anonimnystefy
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### Re: Julianthemath's number 3

#### bobbym wrote:

That was the second thing I did.

In chained notation:

M = Newton -> Euler -> Fermat

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