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Delannoy Number Carpet

size
64
mod
3
hue
mesh
The Delannoy number
(x,y)
gives the number of ways to reach point
{x,y}
(with non-negative integer coordinates) from the origin using only certain moves. They may be either up
{0,1}
, to the right
{1,0}
or one step along the diagonal
{1,1}
. Plots of
(x,y)modn
show nested fractal patterns.
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