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A054032
Numbers n such that n^2 contains exactly 4 different digits.
10
32, 33, 36, 37, 42, 43, 44, 48, 49, 51, 52, 53, 54, 55, 57, 59, 61, 64, 66, 69, 71, 72, 73, 74, 78, 79, 82, 84, 86, 87, 89, 93, 95, 96, 98, 99, 103, 104, 105, 106, 112, 114, 115, 123, 125, 127, 130, 132, 135, 138, 139, 140, 143, 145, 146, 151, 155, 156, 157, 158
OFFSET
1,1
MAPLE
f := []; for i from 0 to 200 do if nops({op(convert(i^2, base, 10))})=4 then f := [op(f), i] fi; od; f;
MATHEMATICA
t = {}; n = -1; While[Length[t] < 50, n++; If[Length[Union[IntegerDigits[n^2]]] == 4, AppendTo[t, n]]] (* T. D. Noe, Apr 26 2013 *)
PROG
(PARI) is(n)=#Set(digits(n^2))==4 \\ Charles R Greathouse IV, Feb 11 2017
KEYWORD
nonn,base
AUTHOR
Asher Auel, Feb 29 2000
STATUS
approved