A121760/1: two (interesting?) sequences

[zak seidov]

--- Joerg Arndt <arndt at jjj.de> wrote:

> I guess base 10 hides whatever one could possibly
> find about the
> sequences.  Whether the sequences are interesting
> would more likely
> show in base 2.
May be OK
but obscure to me, sorry.

> 
> In such cases one should IMHO discuss on seqfan
> before submitting.
Great, that's exactly what I tried to do
many times but I guess that people here
are too busy with their own SEQs or main duties...
Neil's policy with "new" keyword is not so much
effective IMHO, and too many SEQs lack any attn,
thanks Zak


--- Joerg Arndt <arndt at jjj.de> wrote:

> * zak seidov <zakseidov at yahoo.com> [Aug 21. 2006
> 09:28]:
> > Seqfans,
> > I've just send two (interesting?) sequences,
> > two b-files
> > and two relative (nice?) graphs with 1000 points.
> > Hope they are of some interest,
> > Thanks, Zak
> 
> Why not go for base 2 with these base dependent
> sequences?
> 
> >  
> > 
> > %I A121760
> > %S A121760
> >
>
1,2,3,4,5,6,7,8,9,1,11,21,31,41,51,61,71,81,91,20,21,22,23,24,25,26,27,28,29,3,13,23,33,43,53,63,73,83,93
> > %N A121760 In decimal number system, take negative
> > power of 10 at odd digits of n.
> > Sequence gives numerators of result.
> > %C A121760 See accompanying  sequence A121761 In
> > decimal number system, take negative power of 10
> at 
> > even digits of n.
> 
> Let n be an integer written in decimal base:
>  n=d0+d1*10^1+...+d(L-1)*10^(L-1).
> Let s(k) = -1^k.
> a(n) is the numerator of sum(k=0, L-1,
> d(k)*10^e(k)).
> 
> 
> > %F A121760 If n = sum(d(i)*10^(i-1)), then
> > a(n)=sum(d(i)*10^((-1)^(1+d(i))*(i-1))).
> > %e A121760 a(12)=21 because 12=1*10^1+2*10^0 and 
> >
>
a(12)=numerator[1*10^((-1)^(1)*1)+2*10^((-1)^(0)*0)=1/10+2=21/10]=21.
> > %A A121760 Zak Seidov (zakseidov at yahoo.com), Aug
> 20
> > 2006
> > 
> > 
> > %I A121761
> > %S A121761 
> >
>
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1,6,11,16,21,26,31,36,41,46,30,31,32,33,34,35,36,37,38,39,2
> > [...]
> 
> 
> I guess base 10 hides whatever one could possibly
> find about the
> sequences.  Whether the sequences are interesting
> would more likely
> show in base 2.
> 
> In such cases one should IMHO discuss on seqfan
> before submitting.
> 
> 


__________________________________________________
Do You Yahoo!?
Tired of spam?  Yahoo! Mail has the best spam protection around 
http://mail.yahoo.com