Error in A080764

[Joerg Arndt]

This is wrong:
<cite>
Comments:  Fixed point of the morphism 1->1,0,1; 0->1 - Benoit Cloitre
              (abcloitre(AT)wanadoo.fr), May 31 2004
</cite>

Evolution of the morpism in fact is:
1
101
1011101
10111011011011101
10111011011011101101110110111011011011101


The morphism 1->1,1,0; 0->1 is correct for A080764
1
110
1101101
11011011101101110
11011011101101110110110111011011101101101


The fixed point of 1->1,0,1; 0->1 should be added as new sequence.
I'll do that next week when the server problems are gone.

Here is the command line (zsh) hack to generate the patterns:

<cite stringsubst.zsh>
#! /usr/bin/env zsh

function N
{
    local w=$1;
    for (( i=0; i<5; i+=1 )) ; do echo $w; w=$(echo $w | S); done
}

function S { sed 's/1/1_1/g; s/0/1/g; s/_/0/g;' } # 0->1, 1->101
N "1"

function S { sed 's/1/11_/g; s/0/1/g; s/_/0/g;' } # 0->1, 1->110
N "1"
</cite stringsubst.zsh>

-- 
p=2^q-1 prime <== q>2, cosh(2^(q-2)*log(2+sqrt(3)))%p=0
Life is hard and then you die.