cp's OEIS Frontend

A110389 Integers with mutual residues -1.

%I A110389 #7 Dec 02 2018 02:31:14
%S A110389 2,3,5,29,869,756029,571580604869,326704387862983487112029,
%T A110389 106735757048926752040856495274871386126283608869,
%U A110389 11392521832807516835658052968328096177131218666695418950023483907701862019030266123104859068029
%N A110389 Integers with mutual residues -1.
%C A110389 This is the special case k=1 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 A110389 An infinite coprime sequence.
%C A110389 Same as A005267 but with the first two terms in reverse order.
%H A110389 S. Mustonen, <a href="http://www.survo.fi/papers/resseq.pdf">On integer sequences with mutual k-residues</a>
%F A110389 a(1)=2, a(2)=3, a(n) = -1 + a(1)*a(2)*...*a(n-1);
%F A110389 a(n) = a(n-1)^2 + a(n-1) - 1, n > 3.
%p A110389 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(1,n),n=1..10);
%t A110389 Join[{2,3},NestList[#^2+#-1&,5,10]] (* _Harvey P. Dale_, Jul 13 2015 *)
%Y A110389 Cf. A000289.
%K A110389 nonn
%O A110389 1,1
%A A110389 _Seppo Mustonen_, Sep 11 2005
%E A110389 One more term (a(10)) from _Harvey P. Dale_, Jul 13 2015