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A165551
Sum of cube of digits is sum of digits of cube.
2
0, 1, 2, 10, 20, 31, 100, 103, 123, 200, 203, 301, 302, 310, 1000, 1003, 1030, 1230, 1302, 1312, 1321, 2000, 2003, 2030, 2312, 3001, 3002, 3010, 3020, 3032, 3100, 3112, 3211, 3213, 3221, 10000, 10003, 10030, 10033, 10232, 10300, 10303, 11223, 12033
OFFSET
0,3
LINKS
EXAMPLE
For n=31, n^3=29791, sum of digits of cube is 2+9+7+9+1=28, sum of cube of digits is 3^3+1=27+1=28, thus 31 appears in the sequence.
MATHEMATICA
Select[Range[0, 13000], Total[IntegerDigits[#^3]]==Total[IntegerDigits[ #]^3]&] (* Harvey P. Dale, Nov 13 2011 *)
PROG
cubdigsum(n) = local(s=0); while(n, s=s+(n%10)^3; n=n\10); return(s)
for(n=0, 100000, if(cubdigsum(n)==sumdigits(n^3), print1(n, ", ") ) )
CROSSREFS
KEYWORD
base,easy,nonn
AUTHOR
Rémy Sigrist, Sep 21 2009
STATUS
approved