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A068349
Numbers n having a partition n=sum x_i for which Product n/x_i is also a way of factoring n.
0
1, 4, 27, 32, 36, 256, 288, 324, 432, 500, 512, 576, 800, 864, 900, 972, 1152, 1764, 3125, 3456, 3888, 4000, 4096, 4500, 4608, 5184, 5625, 6400, 6561, 6912, 7200, 7776, 8100, 8192, 8748, 9216, 9261, 9604, 10000, 10125, 10368, 10800, 11664, 12348
OFFSET
1,2
EXAMPLE
36 is in the sequence because 36 has a partition 18+12+6 for which (36/18)*(36/12)*(36/6)=2*3*6 is also a way of factoring 36.
Also, 324 is in the sequence since 54+54+108+108=324 and (324/54)*(324/54)*(324/108)*(324/108)=3*3*6*6=54.
CROSSREFS
KEYWORD
nonn
AUTHOR
Naohiro Nomoto, Feb 28 2002
EXTENSIONS
More terms from John W. Layman, Apr 16 2002
a(9)-a(44) from Donovan Johnson, May 23 2010
STATUS
approved