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Results tagged with recurrences
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user 106292
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votes
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answers
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A surprising result with the Riccati difference equation
I was looking at the Riccati difference equation with positive and negative indices
$$
R_n=\frac{aR_{n-1}+b}{cR_{n-1}+d}\quad n\in[0,N]\\
R_n=\frac{-dR_{n+1}+b}{cR_{n+1}-a}\quad n\in[-N,0]\\
$$
along …
- 119
1
vote
1
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124
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Is there a rectangular tiling based on the Padovan sequence? [closed]
I'm thinking of developing a rectangular tiling based on the Padovan sequence (think of the Fibonacci mosaic). It seems like something that should exist, but I can't find anything in the literature. D …
- 119