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Design a 4-bit synchronous counter using D filp-flops and 16 x 4 ROM that can generated any arbitrary counting sequence

What are the restrictions on the counting sequence? Give the ROM contents for the following sequences: a) 12, 13, 14, 15, 5, 6, 7, 0, 1, 2, 3, 4, 11, 10, 9, 8, 12, 13, etc... b)8, 9, 0, 1, 8, 9, ...
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Ripple counters versus synchronous--pros, cons, and power consumption

Substantial edit--note that David Kessner's answer was written in response to the original posting; view the edit history to see what he was responding to From what I've read of digital design, there ...