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EXAMPLE
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{{{1,2,3},{4,5,6},{7,8,9}}, {{1,2,3},{4,6,8},{5,7,9}}, {{1,3,5},{2,4,6},{7,8,9}}, {{1,4,7},{2,5,8},{3,6,9}}, {{1,5,9},{2,3,4},{6,7,8}}}
are the 5 ways to split 1, 2, 3, ..., 9 into 3 arithemetical progressions each with 3 elements. Thus a(3)=5.
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