This expression above is basically what I posted to the seqfan mailing list:

seqfan-2011-March-5

And here:

seqfan-2011-March-8

And here:

Wikipedia Möbius function

Link to Wikipedia revision history:

Wikipedia, Möbius function, difference between revisions 1

Wikipedia, Möbius function, difference between revisions 2

Using the six first terms (on the right hand side) I get 14 accurate decimals, of 14 possible in a spreadsheet, in the interval -0.5 to +0.5. The technique for inverting triangular matrices as a binomial series, which is the basis for this formula, was learned together with Gary W. Adamson.

This expression above simplifies to:

mats.granvik(AT)abo.fi

Keywords: Mobius function, power series, binomial series.

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