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A356729
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Numbers having at least 4 distinct partitions into exactly 3 parts with the same product.
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0
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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
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OFFSET
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1,1
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COMMENTS
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The smallest number that has at least 5 partitions is 185.
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LINKS
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EXAMPLE
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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.
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MATHEMATICA
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Select[Range[3, 300], Max[Transpose[Tally[Apply[Times, IntegerPartitions[#, {3}], {1}]]][[2]]] >= 4 &]
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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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