OFFSET
1,2
COMMENTS
An integer partition is aperiodic if its multiplicities are relatively prime.
EXAMPLE
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.
MATHEMATICA
Table[Max[Times@@@Select[IntegerPartitions[n], GCD@@Length/@Split[#]==1&]], {n, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Sep 09 2018
STATUS
approved