Generalized Pell Numbers

T.Rex · 2005-03-29, 21:16

Hi,
I've tried to extend the Pell numbers, based on one of their definition.
In the document: Generalized Pell Numbers (GPN) , I describe how I proceeded and which properties I've found. But I don't provide proofs. It seems there are nice properties dealing with (GPN) modulo a prime number.
At least, if you want to find a way for computing: 1 + m^(1/m) , lets have a look. (not sure computing 1+m^(1/m) may be useful

).
If you find new properties or proofs, please let me know.
Regards,
Tony

2005-03-29, 21:16	#1
T.Rex Feb 2004 France 2²·229 Posts	Generalized Pell Numbers Hi, I've tried to extend the Pell numbers, based on one of their definition. In the document: Generalized Pell Numbers (GPN) , I describe how I proceeded and which properties I've found. But I don't provide proofs. It seems there are nice properties dealing with (GPN) modulo a prime number. At least, if you want to find a way for computing: 1 + m^(1/m) , lets have a look. (not sure computing 1+m^(1/m) may be useful ). If you find new properties or proofs, please let me know. Regards, Tony Last fiddled with by T.Rex on 2005-03-29 at 21:17

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