OFFSET
3,1
LINKS
Byungchul Cha et al., An Investigation on Partitions with Equal Products, arXiv:1811.07451 [math.NT], 2018.
EXAMPLE
a(4) = 24 because 24 is the smallest number which admits 4 partitions in 4 parts with the same product:
24 = 12+5+4+3 = 10+8+3+3 = 10+6+6+2 = 9+8+5+2, and
720 = 12*5*4*3 = 10*8*3*3 = 10*6*6*2 = 9*8*5*2.
MATHEMATICA
a[n_] := Block[{k=n}, While[Max[Last /@ Tally[Times @@@ IntegerPartitions[k, {n}]]] < n, k++]; k]; Array[a, 40, 3]
CROSSREFS
KEYWORD
nonn
AUTHOR
Giovanni Resta, Jul 27 2018
STATUS
approved