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#26 2013-04-15 10:01:27

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

Yikes! What question are you asking? You can not expect a closed form for that recurrence.


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.

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#27 2013-04-15 10:09:37

anonimnystefy
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From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

Hm, maybe we can watch how the binary representation changes?


“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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#28 2013-04-15 10:13:04

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

I am not following you. The binary representation of the output sequence?


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.

Online

#29 2013-04-15 10:14:10

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

Yes. a_n's in binary.


“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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#30 2013-04-15 10:15:57

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

Do you have access to m?


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.

Online

#31 2013-04-15 10:18:17

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

I did 30 minutes ago. Now I do not.


“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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#32 2013-04-15 10:19:20

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

Okay, give me some time to enter the recurrence and compute some numbers.


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.

Online

#33 2013-04-15 10:20:21

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

Is there an M command for binary to decimal and decimal to binary conversion?


“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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#34 2013-04-15 10:29:32

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

What are the initial conditions for the difference equation?

Go into the pull down menu for help,

Virtual Book > Mathematics and Algorithms > Numbers > Digits in Numbers

there is all the information you need.


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.

Online

#35 2013-04-15 11:16:58

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

a_1=1.

I will look at that later.


“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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#36 2013-04-15 11:19:12

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

The recurrence is not working.


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.

Online

#37 2013-04-15 11:21:18

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

What do you mean?


“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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#38 2013-04-15 11:28:04

bobbym
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From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

I have probably misunderstood something so let me check each part. In post #25, does that replace the Xor as well as the binary representation ?


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.

Online

#39 2013-04-15 11:34:38

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

It does not replace the xor. Just the binary stuff.


“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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#40 2013-04-15 11:40:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

So this expression

is xored with a[n-1]?


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.

Online

#41 2013-04-15 11:41:12

mathaholic
Member
From: Juliania
Registered: 2012-11-29
Posts: 2,842
Website

Re: Julianthemath's number 3

Julianthemath's discovery 5 soon!


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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#42 2013-04-15 11:43:56

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

bobbym wrote:

So this expression

is xored with a[n-1]?

You haven't copied it correctly.

But, yes. We xor that with a[n-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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#43 2013-04-15 11:51:03

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

Yes, I have it working 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.

Online

#44 2013-04-15 12:39:54

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

Great! What now?

By the way, I just read Heinlein's "And he built a crooked house".


“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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#45 2013-04-15 13:59:08

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

Here is the first 20 or so:

View Image: 2013-04-15_184040.gif

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.

Online

#46 2013-04-15 18:52:57

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

So, there is a pattern, alright!


“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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#47 2013-04-15 20:45:05

mathaholic
Member
From: Juliania
Registered: 2012-11-29
Posts: 2,842
Website

Re: Julianthemath's number 3

Yes!


"Double the fun, double the thrill, double the coolness" - Julianthewiki

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#48 2013-04-15 21:20:43

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

So, there is a pattern, alright!

Everything that glitters is not gold.


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.

Online

#49 2013-04-15 21:55:56

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,340

Re: Julianthemath's number 3

That is true. I do not know how to get a general form from those.

Have you tried FindSequenceFunction on the terms?


“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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#50 2013-04-15 21:59:22

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 84,453

Re: Julianthemath's number 3

That was the second thing I did.

In chained notation:

M = Newton -> Euler -> Fermat


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.

Online

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