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

I have just realized

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

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

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

Thanks bobby I think the symmetry is pretty cool!

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

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

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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'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,258

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

**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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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,428

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

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

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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