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Numbers n such that n and n^2 do not contain successive identical digits.
1

%I #8 Sep 28 2016 15:11:58

%S 0,1,2,3,4,5,6,7,8,9,13,14,16,17,18,19,23,24,25,26,27,28,29,31,32,36,

%T 37,39,41,42,43,45,48,49,51,52,53,54,56,57,59,61,63,64,68,69,71,72,73,

%U 74,75,78,79,81,82,84,86,87,89,91,92,93,95,96,97,98,101,102,103,104,121

%N Numbers n such that n and n^2 do not contain successive identical digits.

%H G. C. Greubel, <a href="/A135140/b135140.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[0,150],Count[Differences[IntegerDigits[#]],0] == Count[ Differences[IntegerDigits[#^2]],0]==0&] (* _Harvey P. Dale_, Mar 14 2012 *)

%Y A subset of A050741.

%K base,nonn

%O 1,3

%A _Zak Seidov_, Feb 13 2008