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This is different from the sequence giving the number of positions that can be reached in n moves from the start, but which cannot be reached in fewer than n moves (A080601).
A half-turn is considered to be a single move (rather than two moves).
The total number of positions is 901083404981813616.
Relationship with A080601: 243 = 262 - 18 - 1, 3240 = 3502 - 262, 43239 = 46741 - 3502, ...
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