[seqfan] Re: Q on multiplicative functions

Charles Greathouse charles.greathouse at case.edu
Mon Feb 7 15:56:21 CET 2011

To avoid duplication of effort:

A151764 is completely multiplicative.  I edited the sequence

A163659 and A160467 appear to be multiplicative but I haven't proved
it.  The first 10,000 terms are multiplicative.

I don't understand A157261 or A159631.

Charles Greathouse
Case Western Reserve University

On Mon, Feb 7, 2011 at 8:58 AM, Richard Mathar
<mathar at strw.leidenuniv.nl> wrote:
> Are these multiplicative functions?
> <a href="http://oeis.org/A151764">A151764</a>
>  This is a repeated application of a multiplicative function
> <a href="http://oeis.org/A157261">A157261</a>
>  lengths of blocks of 2 in Gijswijt's sequence
> <a href="http://oeis.org/A159631">A159631</a>
> <a href="http://oeis.org/A159634">A159634</a> 1 ?
>  dimension of a space of modular forms
> <a href="http://oeis.org/A160467">A160467</a>
>  2 to some power involving sigma() and oddness
>  (this might be a product of two multiplicative functions...)
> <a href="http://oeis.org/A163659">A163659</a>
>  Defined as a logarithmic g.f. of Stern's diatomic series
> I am asking because they do not have the keyword:mult yet.
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