[seqfan] O.g.f for the Mobius function?
Mats Granvik
mgranvik at abo.fi
Tue Nov 2 09:10:50 CET 2010
Could the ordinary generating function for the Mobius function be:
a*sin(b*x)-c*tan(pi/2*x)+d*(cos(e*x)-1)+f*(1/cos(pi/2*x)-1)
or have I just used way to many parameters/constants?
Using these values:
1.513644*sin(1.236067977*x)-0.543941247*tan(3.141592654/2*x)+6.20631278*(cos(0.685511405*x)-1)+0.30620273*(1/cos(3.141592654/2*x)-1)
I got r^2 equal to 0.9996 in the interval -0.8 to 0.805 compared to
the power series.
The constant b I put equal to sqrt(5)-1 but it is not necessarily right.
The other values I found with the rather inexact Excel solver.
Best regards,
Mats Granvik
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