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A235719 Squares which have one or more occurrences of exactly four different digits. 3
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 (list; graph; refs; listen; history; text; internal format)
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 * A057370 A057421 A074211

Adjacent sequences:  A235716 A235717 A235718 * A235720 A235721 A235722

KEYWORD

nonn,base

AUTHOR

Colin Barker, Jan 15 2014

STATUS

approved

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Last modified June 24 14:24 EDT 2021. Contains 345417 sequences. (Running on oeis4.)