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EXAMPLE
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For n = 3 the groups are (1,2,3), (4,5), (6) so a(3)= 3.
For n = 4 the groups are (1,2,3,4),(5,6),(7,8),(9,10),(11,12),(13,14),(15,16),(17,18),(19,20),(21,22),(23,24),(25), so a(4) = 12.
For n = 7 the groups are (1,2,3,4,5,6,7), (8,9,10,11), (12,13,14,15),(16,17,18,19),(20,21,22),(23,24,25),(26,27,28),... so a(7)= 2507.
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