Math Is Fun Forum

Nils-Ake

Member

Registered: 2008-04-15

Posts: 20

n^2

I have just realized

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

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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.

Nils-Ake

Member

Registered: 2008-04-15

Posts: 20

Re: n^2

Thanks bobby I think the symmetry is pretty cool!

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.

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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.

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

Website

Re: n^2

Hi;

From your table we get the difference equation,

with

when solved for we get

What does this mean?

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'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.

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.

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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.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,624

Re: n^2

hi Nils-Ake

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

Bob

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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
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Nehushtan

Member

Registered: 2013-03-09

Posts: 957

Re: n^2

http://www.mathisfunforum.com/viewtopic.php?id=20211

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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

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Noob