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

Author

Jayanta Basu, May 10 2013

Keywords

• nonn
• base
• fini
• full

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A119509.

Programs

Mathematica

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