Roll 1 => [0]
  Starting with 0

##</code><code>##

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

##</code><code>##

Him => 0 + 1 => 1 => 0 0
Him => 0 + 2 => 2 => 3 0
Him => 0 + 3 => 3 => 5 0
Him => 0 + 4 => 4 => 1 0
Him => 0 + 5 => 5 => 7 0
Him => 0 + 6 => 6 => 6 1
       a   b    c    d e
a = start
b = die roll
c = start + die roll
d = adjusted down for square, up for prime.
e = is it a valid final number ?

##</code><code>##

  My Matching possibles => [3]

##</code><code>##

  Carrying Forward => [0, 3]
  -----
  Roll 2 => [3]
  Starting with 3
.
.
.
My final Sequence => [0, 3, 4, 7, 10, 12, 14, 15]