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#51 2013-04-16 05:45:00

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

Have you checked if it works?


“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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#52 2013-04-16 05:47:52

bobbym
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From: Bumpkinland
Registered: 2009-04-12
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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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#53 2013-04-16 05:59:37

anonimnystefy
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Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

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


“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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#54 2013-04-16 06:03:34

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

Re: Julianthemath's number 3

What now?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#55 2013-04-16 06:08:45

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,526

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?


“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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#56 2013-04-16 06:10:47

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#57 2013-04-16 06:12:04

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,526

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.


“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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#58 2013-04-16 06:14:46

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#59 2013-04-16 06:16:32

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

That is exactly what I want you to do.


“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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#60 2013-04-16 06:38:40

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

Re: Julianthemath's number 3

Hi;

Sorry, got delayed.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#61 2013-04-16 06:42:36

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

Are sure you used the denominator I gave you?


“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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#62 2013-04-16 06:44:15

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

Re: Julianthemath's number 3


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#63 2013-04-16 06:51:57

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

Ah, sorry. And what about when the denominator is 2^n-(-2)^(n+1)/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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#64 2013-04-16 06:55:31

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

Re: Julianthemath's number 3



In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#65 2013-04-16 06:59:22

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

Hm, so it is good as an asymptotic form.


“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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#66 2013-04-16 07:04:41

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#67 2013-04-16 07:32:08

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

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


“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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#68 2013-04-16 16:17:58

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#69 2013-04-16 20:16:05

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

I got nowhere.


“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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#70 2013-04-16 20:59:42

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#71 2013-04-16 21:28:06

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,526

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.


“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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#72 2013-04-16 21:30:33

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#73 2013-04-16 21:31:49

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

I used the one you got!


“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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#74 2013-04-16 21:37:45

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,771

Re: Julianthemath's number 3

I got? Which, what and where?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#75 2013-04-17 02:30:08

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,526

Re: Julianthemath's number 3

bobbym wrote:

That was the second thing I did.

In chained notation:

M = Newton -> Euler -> Fermat


“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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