A054036 - OEIS

A054036

Numbers n such that n^2 contains exactly 8 different digits.

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

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OFFSET

1,1

LINKS

John Cerkan, Table of n, a(n) for n = 1..10000

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 *)

CROSSREFS