A067071 Numbers with no zeros such that the product of the digits of its cube is also a cube.

1, 2, 29, 61, 211, 224, 259, 331, 406, 456, 704, 758, 774, 819, 822, 906, 1578, 1708, 1768, 2246, 2313, 2332, 2474, 3409, 3982, 4006, 4046, 4331, 4347, 4348, 4367, 4376, 4608, 4832, 4865, 4921, 5226, 5332, 5477, 5554, 5692, 5774, 5971, 6357, 6408, 6449

Offset

0,2

References

Felice Russo, A set of new Smarandache Functions, Sequences and conjectures in number theory, American Research Press, Lupton USA.

Links

Table of n, a(n) for n=0..45.

Example

224 belongs to this sequence as 224^3 = 11239424 and the product of the digits = 1728 = 12^3.

Mathematica

Do[a = Apply[Times, IntegerDigits[n^3]]; If[ a != 0 && IntegerQ[a^(1/3)], Print[n]], {n, 1, 10^4} ]

Crossrefs

Sequence in context: A276169 A107161 A041097 * A031918 A358028 A101231

Adjacent sequences: A067068 A067069 A067070 * A067072 A067073 A067074

Keyword

nonn,base

Author

Amarnath Murthy, Jan 05 2002

Extensions

More terms from Robert G. Wilson v, Jan 15 2002

Status

approved