[seqfan] from Steven Finch about A087687

Olivier Gerard olivier.gerard at gmail.com
Mon Jan 26 06:19:56 CET 2009

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From: Steven Finch <sfinch9 at hotmail.com>
Date: Sun, 25 Jan 2009 20:55:11 -0500
Subject: A087687


I believe that a(n), as defined by A087687, is a multiplicative function.
It seems clear that a(p)=p^2 for any prime p, a(4)=8, a(8)=32 and

a(p^2)=p^2*(p^2+p-1),    a(p^3)=p^4*(p^2+p-1)

for any odd prime.  Formulas for a(p^k) for k>=3 seem to be hard to
find.  Does anyone know how to do this?  Thank you!

Steve Finch

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