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

1,1

Comments

The first term having a repeated digit is 10137856.

Links

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

Formula

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

Example

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

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A235106 A159816 A254567 * A115497 A205925 A030084

Adjacent sequences: A235719 A235720 A235721 * A235723 A235724 A235725

Keyword

nonn,base

Author

Colin Barker, Jan 15 2014

Status

approved