A356729 Numbers having at least 4 distinct partitions into exactly 3 parts with the same product.

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

Author

Tanya Khovanova, Sep 09 2022

Keywords

• nonn

Comments

The smallest number that has at least 5 partitions is 185.

Examples

			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.
		

Crossrefs

Cf. A119028.

Programs

Mathematica

Select[Range[3, 300], Max[Transpose[Tally[Apply[Times, IntegerPartitions[#, {3}], {1}]]][[2]]] >= 4 &]