A235719 Squares which have one or more occurrences of exactly four different digits.

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

Offset

1,1

Comments

The first term having a repeated digit is 10609.

Links

Colin Barker, Table of n, a(n) for n = 1..1000

Formula

a(n) = A054032(n)^2.

Example

5329 is in the sequence because 5329 = 73^2 and 5329 contains exactly four different digits: 2, 3, 5 and 9.

Mathematica

Select[Range[150]^2, Length[Union[IntegerDigits[#]]]==4&] (* Harvey P. Dale, May 03 2018 *)

Prog

(PARI) s=[]; for(n=1, 300, if(#vecsort(eval(Vec(Str(n^2))), , 8)==4, s=concat(s, n^2))); s

Crossrefs

Cf. A235717, A235718, A235720-A235724, A225218.

Sequence in context: A217850 A023075 A084918 * A365583 A057370 A057421

Adjacent sequences: A235716 A235717 A235718 * A235720 A235721 A235722

Keyword

nonn,base

Author

Colin Barker, Jan 15 2014

Status

approved