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A319054
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Maximum product of an aperiodic integer partition of n.
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1
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1, 2, 3, 4, 6, 8, 12, 18, 24, 36, 54, 72, 108, 162, 216, 324, 486, 648, 972, 1458, 1944, 2916, 4374, 5832, 8748, 13122, 17496, 26244, 39366, 52488, 78732, 118098, 157464, 236196, 354294, 472392, 708588, 1062882, 1417176, 2125764, 3188646, 4251528, 6377292
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OFFSET
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1,2
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COMMENTS
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An integer partition is aperiodic if its multiplicities are relatively prime.
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LINKS
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EXAMPLE
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Among the aperiodic partitions of 9, those with maximum product are (432) and (3222), so a(9) = 24. If periodic partitions were allowed, we would have (333) with product 27.
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MATHEMATICA
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Table[Max[Times@@@Select[IntegerPartitions[n], GCD@@Length/@Split[#]==1&]], {n, 30}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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