

A050741


Numbers k such that the decimal expansion of k^2 contains no pair of consecutive equal digits.


4



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 14, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 36, 37, 39, 41, 42, 43, 44, 45, 48, 49, 51, 52, 53, 54, 55, 56, 57, 59, 61, 63, 64, 66, 68, 69, 71, 72, 73, 74, 75, 77, 78, 79, 81, 82, 84, 86, 87, 89, 91, 92, 93, 95, 96, 97
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


LINKS



EXAMPLE

10 is absent because 10^2=100 with repeating 0,
12 is absent because 12^2=144 with repeating 4,
21 is absent because 21^2=441 with repeating 4.


MATHEMATICA

Select[Range[0, 97], FreeQ[Differences[IntegerDigits[#^2]], 0]&] (* Jayanta Basu, May 31 2013 *)


CROSSREFS



KEYWORD

nonn,base


AUTHOR



EXTENSIONS



STATUS

approved



