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A067071 Numbers with no zeros such that the product of the digits of its cube is also a cube. 2
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 (list; graph; refs; listen; history; text; internal format)
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 A101231 A141949

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

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Last modified June 24 08:22 EDT 2017. Contains 288697 sequences.