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Six-digit exclusionary squares: 6-digit numbers whose squares comprise digits none of which appears in the number itself.
2

%I #9 Mar 21 2013 16:24:03

%S 141494,143413,144113,144417,144453,144533,144544,144744,148334,

%T 150908,150918,151153,151157,151688,151767,151787,151898,154144,

%U 155113,155133,155138,155158,155577,155707,155757,155788,155813,157157,157557,157753,157813,158113

%N Six-digit exclusionary squares: 6-digit numbers whose squares comprise digits none of which appears in the number itself.

%C There are 1219 such 6-digit numbers.

%D Clifford A. Pickover, A Passion for Mathematics, John Wiley & Sons, 2005, at pp. 61, 297

%H Harvey P. Dale, <a href="/A195438/b195438.txt">Table of n, a(n) for n = 1..1219</a> (full sequence)

%t Select[Range[100000,999999],Intersection[IntegerDigits[#], IntegerDigits[ #^2]] =={}&]

%Y Cf. A195363.

%K nonn,base,fini,full

%O 1,1

%A _Harvey P. Dale_, Sep 18 2011