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MAThis synthwave enumeration shows all of the northeast lattice paths on the 4x4 integer grid. The number of such lattice paths to a point (a,b) is counted by the binomial coefficient {a+b choose a}. So as you watch this video, Pascal’s triangle (also known as Halayudha’s triangle or just the arithmetic triangle) appears as the counts.
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This animation is based on the well-known interpretation of binomial coefficients as counting lattice paths. You can find more in many textbooks such as Oscar Levin’s Discrete Mathematics An Open Introduction (http://discrete.openmathbooks.org/dmoi2/sec_counting-binom.html).
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