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## #1 2013-11-29 06:49:30

Nils-Ake
Member
Registered: 2008-04-15
Posts: 20

### n^2

I have just realized

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## #2 2013-11-29 07:04:53

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: n^2

Hi;

From your table we get the difference equation,

with

when solved for we get

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #3 2013-11-29 13:24:43

Nils-Ake
Member
Registered: 2008-04-15
Posts: 20

### Re: n^2

Thanks bobby I think the symmetry is pretty cool!

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## #4 2013-11-29 14:01:38

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: n^2

Hi;

I do not know whether it is original but I have never seen it put like that so thanks for posting it.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #5 2013-11-29 14:14:33

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,835
Website

### Re: n^2

bobbym wrote:

Hi;

From your table we get the difference equation,

with

when solved for we get

What does this mean?

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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## #6 2013-11-29 14:16:27

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: n^2

Take a look at the table he constructed and think iteratively.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #7 2013-11-29 21:06:34

bob bundy
Registered: 2010-06-20
Posts: 8,108

### Re: n^2

hi Nils-Ake

Many of my posts have diagrams.  Here's one for your discovery.

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #8 2013-11-29 23:21:35

Nehushtan
Member
Registered: 2013-03-09
Posts: 905
Website

Blog

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## #9 2013-12-03 04:09:06

antonrasmussen
Member
Registered: 2013-11-25
Posts: 16

### Re: n^2

Interested to hear more on how you stumbled onto this . . . were you working on something? Playing around?

Also, this seems to relate to Pascal's triangle . . . is there a connection there?

-Anton

--
Noob

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