A Permutation Involving Coprimality

[Leroy Quet]

I just submitted the following sequence to the EIS:


%I A000001
%S A000001 1,3,5,2,7,4,9,11,6,13,8,15,17,10
%N A000001 a(1) = 1; a(n) = lowest positive integer which is not among 
earlier terms of sequence, is coprime with a(n-1), is not equal to 
a(n-1)+1, and is not equal to a(n-1)-1.
%C A000001 A permutation of the positive integers.
%e A000001 a(8) = 11 because, among the positive integers not occurring 
earlier in the sequence (6,8,10,11,12,...), 11 is the lowest which is 
coprime to a(7)=9, is not a(7)+1=10, and is not a(7)-1=8.
%Y A000001 A093714
%O A000001 1
%K A000001 ,more,nonn,
%A A000001 Leroy Quet (qq-quet at mindspring.com), Aug 23 2004


Maybe someone could extend the sequence, if the want, and also submit the 
inverse permutation.

thanks,
Leroy Quet