NEW SEQ?

[zak seidov]

1. Paul, thanks a lot for Refrs!

2. Yes, my calcs give:

2A. The number of 1's in each row:
2, 3, 6, 13, 30, 71, 170, 409, 986, 2379, 5742, 
in an accord with A052937(?)

2B. Sum of terms in each row:
2, 4, 9, 21, 50, 120, 289, 697, 1682, 4060 
in an accord with A024537(?)

3. No idea why it's so(?).

4. ATB(=All the best), Zak

--- "Paul D. Hanna" <pauldhanna at juno.com> wrote:

> Zak (and Seqfans), 
>     Starting with {0,1} as in your example, your
> table appears to be new
> to the OEIS. 
> Here are 2 related sequences. 
>   
> The number of terms in each row appear to be:
> A052937  
> 2, 3, 6, 13, 30, 71, 170, 409, 986, 2379, 5742,
> 13861, 33462, 
<..........>
>    
> Row sums appear to be: A024537  
> 1, 2, 4, 9, 21, 50, 120, 289, 697, 1682, 4060, 9801,
<........> 
> Zak, do your calculations verify that these
> sequences coincide? 
>     Paul 
>  
> On Fri, 17 Mar 2006 20:49:45 -0800 (PST) zak seidov
> <zakseidov at yahoo.com>
> writes:
> > Rows of Binary Sequences
> > 
> > We start with any seed sequence
> > (of any length and structure), e.g.:
> > {0,1}
> > 
> > and proceed:
> > {0,1,1}
> > {0,1,1,1,0,1}
> > {0,1,1,1,0,1,1,0,1,1,0,1,1}
<................>
> > The rule is 
> > "Put in  the (binary) sum of neighbors between
> them!":
> > {0,0}=>{0,0,0},{0,1}=>{0,1,0},
> > {1,0}=>{0,1,0},{1,1}=>{1,1,0,1}.
<................>


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