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Repdigit Kaprekar numbers
1

%I #3 Nov 24 2010 00:00:55

%S 1,9,55,99,999,7777,9999,22222,99999,999999,4444444,9999999,88888888,

%T 99999999,999999999,1111111111

%N Repdigit Kaprekar numbers

%C The only numbers where the repeated digit and the number of digits are the same are 1, 88888888 and 999999999.

%H Robert P. Munafo, <a href="http://www.mrob.com/pub/math/seq-kaprekar.html">Kaprekar sequences at MROB</a>

%K nonn,base

%O 1,2

%A Howard Berman (howard_berman(AT)hotmail.com), Oct 22 2008