A118545 Cubes for which the product of the digits is also a cube.

1, 8, 1000, 4096, 8000, 10648, 24389, 27000, 39304, 50653, 64000, 74088, 79507, 103823, 110592, 125000, 140608, 205379, 216000, 226981, 250047, 300763, 328509, 343000, 389017, 405224, 493039, 512000, 592704, 636056, 658503, 704969, 729000

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..2500

Example

24389 is in the sequence because (1) it is a cube, (2) the product of its digits is 2*4*3*8*9=1728 which is also cube.

Mathematica

Select[Range[100]^3, IntegerQ[Surd[Times@@IntegerDigits[#], 3]]&] (* Harvey P. Dale, Oct 16 2018 *)

Crossrefs

Sequence in context: A181965 A159868 A061105 * A017091 A164883 A019545

Adjacent sequences: A118542 A118543 A118544 * A118546 A118547 A118548

Keyword

base,nonn

Author

Luc Stevens (lms022(AT)yahoo.com), May 03 2006

Status

approved