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In: Advanced Math

What is the number of routes from (0, 0, 0) to (0, 20, −10) such that...

What is the number of routes from (0, 0, 0) to (0, 20, −10) such that you move by (2, 0, 0) or (0,1,1) or (−1,0,−1) but you don’t make two (2,0,0) moves in a row?

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