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A164882
Numbers n such that sum of the cubes of the digits of n^3 is a perfect cube.
2
0, 1, 2, 10, 20, 78, 100, 118, 200, 237, 303, 501, 780, 1000, 1005, 1039, 1079, 1145, 1180, 1562, 2000, 2224, 2370, 3003, 3030, 3304, 4105, 4339, 5001, 5010, 5235, 5478, 5705, 5829, 6096, 6459, 6475, 6493, 6795, 7154, 7221, 7444, 7800, 8494, 9168, 9462
OFFSET
1,3
LINKS
Zak Seidov, Table of n, a(n) for n = 1..1741 (all terms up to 10^6).
EXAMPLE
a(6) = 78 since 78^3 = 474552 and 4^3 + 7^3 + 4^3 + 5^3 + 5^3 + 2^3 = 729 = 9^3
MATHEMATICA
Select[Range[0, 10000], IntegerQ[Power[Total[IntegerDigits[#^3]^3], (3)^-1]]&] (* Harvey P. Dale, Mar 17 2012 *)
CROSSREFS
Sequence in context: A332393 A120552 A090220 * A029994 A298411 A324474
KEYWORD
nonn,base
AUTHOR
Gaurav Kumar, Aug 29 2009
EXTENSIONS
Typo in name fixed by Zak Seidov, May 21 2013
STATUS
approved