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A054036
Numbers n such that n^2 contains exactly 8 different digits.
10
3206, 3267, 3268, 3292, 3674, 3678, 3698, 3723, 3734, 4047, 4097, 4157, 4175, 4455, 4537, 4554, 4616, 4634, 4663, 4804, 4814, 4896, 4913, 4967, 4987, 5376, 5529, 5699, 5742, 5853, 5899, 5904, 5905, 5968, 6043, 6071, 6095, 6098, 6127, 6176, 6181, 6199
OFFSET
1,1
EXAMPLE
3206 is in the sequence because 3206^2 = 10278436 and 10278436 contains exactly eight different digits: 0, 1, 2, 3, 4, 6, 7 and 8.
MAPLE
f := []; for i from 0 to 200 do if nops({op(convert(i^2, base, 10))})=8 then f := [op(f), i] fi; od; f;
MATHEMATICA
Select[Range[7000], Count[DigitCount[#^2], 0]==2&] (* Harvey P. Dale, Aug 10 2017 *)
KEYWORD
nonn,base
AUTHOR
Asher Auel, Feb 28 2000
STATUS
approved