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Integers with mutual residues -8.
0

%I #2 Mar 30 2012 18:59:35

%S 9,17,145,22177,491996737,242060793154621057,

%T 58593427582644242304230418504765697,

%U 3433189755882575096320786725947643765954772037072168669374448906021377

%N Integers with mutual residues -8.

%C This is the special case k=8 of sequences with mutual residues -k. In general, a(1)=k+1 and a(n)=min{m | m>a(n-1), mod(m,a(i))=-k, i=1,...,n-1}.

%C An infinite coprime sequence

%H S. Mustonen, <a href="http://www.survo.fi/papers/resseq.pdf">On integer sequences with mutual k-residues</a>

%F a(1)=9, a(2)=17, a(n)=-1+a(1)*a(2)*...*a(n-1)

%F a(n)=a(n)^2+8*a(n)-8, n>3

%p a:=proc(k,n::nonnegint) option remember; if n<3 then RETURN(n*k+1); fi; if n=3 then RETURN(a(k,1)*a(k,2)-k); fi; a(k,n-1)*(a(k,n-1)+k)-k; end; seq(a(8,n),n=1..8);

%K nonn

%O 1,1

%A _Seppo Mustonen_, Sep 11 2005