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  Roll 1 => [0]
  Starting with 0

  ------
  His possibles         => [6]

Him => 0 + 1 => 1 => 0 0
Him => 0 + 2 => 2 => 3 0
...
c = start + die roll
d = adjusted down for square, up for prime.
e = is it a valid final number ?

  My Matching possibles => [3]

  Carrying Forward => [0, 3]
  -----
...
.
.
My final Sequence => [0, 3, 4, 7, 10, 12, 14, 15]