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Because it would be unreasonable to expect anyone to deduce these numbers on their own, I leave them here. You will have to figure out what they mean for yourself, though.
[[0, 1, 3, 3, 2], [0, 1, 8, 30, 68, 75, 30], [0, 1, 21, 267, 1718, 5250, 7980, 5880, 1680], [0, 1, 94, 8814, 245008, 2759250, 15884004, 52701264, 106866144, 134719200, 103118400, 43908480, 7983360], [0, 1, 17822, 58076586, 18093064608, 1498413498750, 51672950917308, 936058547290608, 10194866756893728, 72644237439379200, 357895538663241600, 1264592451488446080, 3281293750348373760, 6337930306906598400, 9157388718839961600, 9858321678965760000, 7794071905639219200, 4394429252269056000, 1672620130621440000, 385209484627968000, 40548366802944000]]
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Because it would be unreasonable to expect anyone to deduce these numbers on their own, I leave them here. You will have to figure out what they mean for yourself, though. [[0, 1, 3, 3, 2], [0, 1, 8, 30, 68, 75, 30], [0, 1, 21, 267, 1718, 5250, 7980, 5880, 1680], [0, 1, 94, 8814, 245008, 2759250, 15884004, 52701264, 106866144, 134719200, 103118400, 43908480, 7983360], [0, 1, 17822, 58076586, 18093064608, 1498413498750, 51672950917308, 936058547290608, 10194866756893728, 72644237439379200, 357895538663241600, 1264592451488446080, 3281293750348373760, 6337930306906598400, 9157388718839961600, 9858321678965760000, 7794071905639219200, 4394429252269056000, 1672620130621440000, 385209484627968000, 40548366802944000]]