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The only numbers where the repeated digit and the number of digits are the same are 1, 88888888 and 999999999.
Table of n, a(n) for n=1..16.
Robert P. Munafo, Kaprekar sequences at MROB
Sequence in context: A270575 A058849 A058852 * A068970 A141530 A263478
Adjacent sequences: A145872 A145873 A145874 * A145876 A145877 A145878
Howard Berman (howard_berman(AT)hotmail.com), Oct 22 2008