Journal of Integer Sequences, Vol. 18 (2015), Article 15.4.8

A New Lower Bound for the Distinct Distance Constant

Raffaele Salvia


The reciprocal sum of the Zhang sequence is not equal to the distinct distance constant. This note introduces a B2-sequence with larger reciprocal sum, and provides a more precise estimate of the reciprocal sums of the Mian-Chowla sequence and the Zhang sequence.

Full version:  pdf,    dvi,    ps,    latex    

Accompanying tables:  H.txt,    MianChowla.txt,     Zhang.txt  

(Concerned with sequence A005282.)

Received November 16 2014; revised version received February 26 2015. Published in Journal of Integer Sequences, May 17 2015.

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