Restricted Divisor Function

$\begin{figure}\begin{center}\BoxedEPSF{RestrictedDivisorFunction.epsf}\end{center}\end{figure}$

The sum of the Aliquot Divisors of , given by

$\begin{displaymath} s(n)\equiv \sigma(n)-n, \end{displaymath}$

where $\sigma(n)$ is the Divisor Function. The first few values are 0, 1, 1, 3, 1, 6, 1, 7, 4, 8, 1, 16, ... (Sloane's A001065).

References

Sloane, N. J. A. Sequence A001065/M2226 in ``An On-Line Version of the Encyclopedia of Integer Sequences.'' http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.