A378667 Numbers having a self-conjugate multiplicative partition into factors larger than 1.

1, 4, 18, 27, 64, 96, 192, 200, 256, 300, 576, 600, 800, 864, 1125, 1500, 1568, 1728, 2304, 2352, 2500, 3125, 3240, 4096, 4320, 4704, 5832, 6144, 6272, 7200, 7776, 8820, 9000, 10368, 11760, 12288, 12960, 15552, 15876, 16200, 16384, 19600, 20736, 21168, 23040, 24500, 25600, 25920, 27783

Offset

1,2

Links

Table of n, a(n) for n=1..49.

Eric Weisstein's World of Mathematics, Self Conjugate Partition

Wikipedia, Integer partition (Conjugate and self-conjugate partitions)

Example

192 = 4*4*4*3 is a term:
  OOOO
  OOOO
  OOOO
  OOO    .

Crossrefs

Cf. A000312 (subset), A001055, A378633 (subsequence).

Sequence in context: A387712 A166749 A370406 * A378633 A103067 A080519

Adjacent sequences: A378664 A378665 A378666 * A378668 A378669 A378670

Keyword

nonn

Author

Alois P. Heinz, Dec 02 2024

Status

approved