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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..44.

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

Cf. A001055, A066925, A066926.

Sequence in context: A093845 A250095 A085702 * A129204 A239283 A082872

Adjacent sequences:  A068346 A068347 A068348 * A068350 A068351 A068352

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

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Last modified September 25 16:13 EDT 2020. Contains 337344 sequences. (Running on oeis4.)