|
|
A225565
|
|
Numbers with repeated digits, whose squares do not contain any repeated digits.
|
|
1
|
|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Subsequence of A119509. There are a total of 274 such terms. a(274)=99066.
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
nonn,base,fini,full
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|