

A117689


Cubes for which the product of the digits is a square.


1



0, 1, 343, 1000, 1331, 4096, 8000, 10648, 19683, 27000, 39304, 50653, 64000, 74088, 79507, 103823, 110592, 125000, 140608, 148877, 205379, 216000, 238328, 250047, 300763, 328509, 343000, 389017, 405224, 493039, 512000, 551368, 592704, 636056
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OFFSET

0,3


COMMENTS

Any cube with a zero digit is a term of this sequence. Of the first 10,000 terms, only 331 have no zero digits. The largest such zerofree cube in the first 10,000 terms is 2956841564977.  Harvey P. Dale, Aug 22 2021


LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..10000


EXAMPLE

19683 is in the sequence because it is a cube and the product of its digits 1*9*6*8*3=1296 is a square.


MATHEMATICA

Select[Range[0, 100]^3, IntegerQ[Sqrt[Times@@IntegerDigits[#]]]&] (* Harvey P. Dale, Aug 22 2021 *)


CROSSREFS

Cf. A000290, A000578.
Sequence in context: A336354 A269346 A202852 * A178374 A179147 A047739
Adjacent sequences: A117686 A117687 A117688 * A117690 A117691 A117692


KEYWORD

nonn,base


AUTHOR

Luc Stevens (lms022(AT)yahoo.com), Apr 12 2006


STATUS

approved



