User:Cedar101/sandbox

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a4 white rook b4 one c4 one d4 one
a3 one b3 two c3 three d3 four
a2 one b2 three c2 six 10
a1 one b1 four 10 20
Pascal's triangle overlaid on a grid gives the number of distinct paths to each square, assuming only rightward and downward movements are considered.