A235722 Squares which have one or more occurrences of exactly seven different digits.

1034289, 1046529, 1048576, 1054729, 1056784, 1073296, 1075369, 1085764, 1238769, 1247689, 1354896, 1380625, 1382976, 1432809, 1507984, 1605289, 1607824, 1630729, 1695204, 1708249, 1750329, 1763584, 1803649, 1827904, 1836025, 1890625, 1946025, 1974025

Offset: 1

Author

Colin Barker, Jan 15 2014

Keywords

• nonn
• base

Comments

The first term having a repeated digit is 10137856.

Examples

			1247689 is in the sequence because 1247689 = 1117^2 and 1247689 contains exactly seven different digits: 1, 2, 4, 6, 7, 8 and 9.
		

Links

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

Crossrefs

Cf. A235717-A235721, A235723, A235724, A225218.

Programs

Mathematica

sddQ[n_]:=Count[DigitCount[n],?(#>0&)]==7; Select[Range[1001,1450]^2, sddQ] (* _Harvey P. Dale, Mar 12 2015 *)

PARI

s=[]; for(n=1, 10000, if(#vecsort(eval(Vec(Str(n^2))),,8)==7, s=concat(s, n^2))); s

Formula

a(n) = A054035(n)^2.