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## #1 2013-11-30 05:49:30

Nils-Ake
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### n^2

I have just realized

## #2 2013-11-30 06:04:53

bobbym

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### 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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #3 2013-11-30 12:24:43

Nils-Ake
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### Re: n^2

Thanks bobby I think the symmetry is pretty cool!

## #4 2013-11-30 13:01:38

bobbym

Online

### 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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #5 2013-11-30 13:14:33

Agnishom
Real Member

Online

### 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'
'The whole person changes, why can't a habit?' -Alokananda

## #6 2013-11-30 13:16:27

bobbym

Online

### 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.
Some cause happiness wherever they go; others, whenever they go.
If you can not overcome with talent...overcome with effort.

## #7 2013-11-30 20:06:34

bob bundy
Moderator

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### Re: n^2

hi Nils-Ake

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

Bob

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

Nehushtan
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## #9 2013-12-04 03:09:06

antonrasmussen
Member

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### 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