Answer: 1040 sequences
Step-by-step explanation:
a die has 6 faces, 6x6x6x6 = 1296 possible sequences in whole
you have to get rid of the sequences that don't work, 4x4x4x4 = 256 (these will fail because you need at least one number that is bigger than 4)
1296 (whole)-256 (failed) = 1040 sequences that could work
