

A164883


Cubes with the property that the sum of the cubes of the digits is also a cube.


2



0, 1, 8, 1000, 8000, 474552, 1000000, 1643032, 8000000, 13312053, 27818127, 125751501, 474552000, 1000000000, 1015075125, 1121622319, 1256216039, 1501123625, 1643032000, 3811036328, 8000000000, 11000295424, 13312053000
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


COMMENTS

It is known (Murthy 2001) that the sequence is infinite. (1) The number {3(10^(k+2)+1)}^3 for all k produces such numbers. (2) Less trivially, {10^(n+2)  4}^3 is a member of this sequence for n = 4*{(10^(3k)1)/27}1, for all k, for which the sum of the cubes of the digits is {6*10^k}^3.


REFERENCES

Amarnath Murthy, Smarandache Fermat Additive Cubic Sequence, 2011. (To be published in the Smarandache Notions Journal.)


LINKS

Table of n, a(n) for n=1..23.


EXAMPLE

474552 = 78^3 is a term since 4^3+7^3+4^3+5^3+5^3+2^3 = 729 = 9^3.


MATHEMATICA

Select[Range[0, 2500]^3, IntegerQ[Total[IntegerDigits[#]^3]^(1/3)]&] (* Harvey P. Dale, Jun 03 2012 *)


CROSSREFS

Sequence in context: A061105 A118545 A017091 * A019545 A046242 A260028
Adjacent sequences: A164880 A164881 A164882 * A164884 A164885 A164886


KEYWORD

nonn,base


AUTHOR

Amarnath Murthy, Apr 21 2001


EXTENSIONS

Corrected and extended by Gaurav Kumar, Aug 29 2009


STATUS

approved



