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A356729
Numbers having at least 4 distinct partitions into exactly 3 parts with the same product.
0
118, 130, 133, 135, 137, 140, 148, 149, 153, 155, 161, 167, 169, 174, 175, 182, 183, 185, 189, 190, 194, 195, 200, 202, 205, 206, 208, 209, 210, 213, 214, 215, 216, 217, 220, 221, 222, 223, 224, 225, 228, 229, 231, 234, 235, 236, 239, 240, 243, 244, 245, 247, 248, 249, 250, 251, 253, 254
OFFSET
1,1
COMMENTS
The smallest number that has at least 5 partitions is 185.
EXAMPLE
118 is in this sequence because it has 4 partitions (14,50,54), (15,40,63), (18,30,70), and (21,25,72) with the same product 37800.
MATHEMATICA
Select[Range[3, 300], Max[Transpose[Tally[Apply[Times, IntegerPartitions[#, {3}], {1}]]][[2]]] >= 4 &]
CROSSREFS
Cf. A119028.
Sequence in context: A263425 A066923 A039556 * A095627 A066734 A146337
KEYWORD
nonn
AUTHOR
Tanya Khovanova, Sep 09 2022
STATUS
approved