A225565 Numbers with repeated digits, whose squares do not contain any repeated digits.

33, 44, 55, 66, 99, 113, 116, 117, 118, 133, 144, 181, 191, 199, 224, 226, 228, 232, 233, 252, 272, 282, 292, 299, 311, 322, 323, 353, 442, 445, 557, 616, 626, 661, 677, 686, 717, 733, 737, 757, 777, 778, 797, 799, 855, 884, 889, 929, 1017, 1113, 1117

Offset

1,1

Comments

Subsequence of A119509. There are a total of 274 such terms. a(274)=99066.

Links

T. D. Noe, Table of n, a(n) for n = 1..274

Example

117 is a member since it has repeated digits but 117^2=13689 contains no repeated digits.

Mathematica

mx[n_]:=Max[DigitCount[n]]; Select[Range[1150], mx[#]>1 && mx[#^2]<=1 &]

Crossrefs

Cf. A119509.

Sequence in context: A140151 A196579 A121993 * A050875 A060876 A070121

Adjacent sequences: A225562 A225563 A225564 * A225566 A225567 A225568

Keyword

nonn,base,fini,full

Author

Jayanta Basu, May 10 2013

Status

approved