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A235719
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Squares which have one or more occurrences of exactly four different digits.
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3
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1024, 1089, 1296, 1369, 1764, 1849, 1936, 2304, 2401, 2601, 2704, 2809, 2916, 3025, 3249, 3481, 3721, 4096, 4356, 4761, 5041, 5184, 5329, 5476, 6084, 6241, 6724, 7056, 7396, 7569, 7921, 8649, 9025, 9216, 9604, 9801, 10609, 10816, 11025, 11236, 12544, 12996
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OFFSET
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1,1
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COMMENTS
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The first term having a repeated digit is 10609.
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LINKS
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FORMULA
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EXAMPLE
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5329 is in the sequence because 5329 = 73^2 and 5329 contains exactly four different digits: 2, 3, 5 and 9.
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MATHEMATICA
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Select[Range[150]^2, Length[Union[IntegerDigits[#]]]==4&] (* Harvey P. Dale, May 03 2018 *)
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PROG
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(PARI) s=[]; for(n=1, 300, if(#vecsort(eval(Vec(Str(n^2))), , 8)==4, s=concat(s, n^2))); s
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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