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

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

Cf. A016069, A054031, A054032, A054033, A054034, A054035, A054037, A054038, A054039, A235723.

Sequence in context: A023308 A171350 A251396 * A236252 A232262 A048255

Adjacent sequences: A054033 A054034 A054035 * A054037 A054038 A054039

Keyword

nonn,base

Author

Asher Auel, Feb 28 2000

Status

approved