Journal of Integer Sequences, Vol. 16 (2013), Article 13.4.6

A Family of Sequences Generating Smith Numbers

Amin Witno
Department of Basic Sciences
Philadelphia University
19392 Jordan


Infinitely many Smith numbers can be constructed using sequences which involve repunits. We provide an alternate method of construction by introducing a generalization of repunits, resulting in new Smith numbers whose decimal digits are composed of zeros and nines.

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(Concerned with sequences A002275 A006753.)

Received September 29 2012; revised versions received December 21 2012; March 21 2013. Published in Journal of Integer Sequences, March 25 2013.

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