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Red, green, and blue tiles

Problem 117 Published on Friday, 10th March 2006, 06:00 pm; Solved by 9434;
Difficulty rating: 35%

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.