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Problem 117

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Red, green, and blue tiles

Using a combination of black square tiles and oblong tiles chosen from: red tiles measuring two units, green tiles measuring three units, and blue tiles measuring four units, it is possible to tile a row measuring five units in length in exactly fifteen different ways.


How many ways can a row measuring fifty units in length be tiled?

NOTE: This is related to Problem 116.

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红色、绿色和蓝色的地砖

使用黑色地砖、长度为2的红色地砖、长度为3的绿色地砖、长度为4的蓝色地砖的组合，一共有恰好15种不同的方式铺满长度为5的一行。


一共有多少种不同的方式铺满长度为50的一行？

注意：这道题和第116题有关。

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