Should Pell be extended by one term?

creigh at creigh at
Sat Nov 13 23:43:04 CET 2004

Jack wrote:
The Pell sequence should not, IMHO, be extended. As the Pell is normally defined, 
with P(0)=0, P(1)=1, there are relationships between the index and the Pell 


I was thinking more along the lines of potentially setting its offset to 
i.e. P(-1) = 1 (should have been more specific- what a mess there would be 
otherwise!). That way, P(0)= 0 and P(1) = 1 still hold.


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