Delannoy Number Carpet

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The Delannoy number gives the number of ways to reach point
(with non-negative integer coordinates) from the origin using only certain moves. They may be either up
, to the right
or one step along the diagonal
. Plots of
show nested fractal patterns.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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"Delannoy Number Carpet"
http://demonstrations.wolfram.com/DelannoyNumberCarpet/
Wolfram Demonstrations Project
Published: March 7 2011