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A235722 Squares which have one or more occurrences of exactly seven different digits. 3
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 15 14:28 EDT 2019. Contains 327078 sequences. (Running on oeis4.)