1,1

This is the special case k=10 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}.

An infinite coprime sequence

S. Mustonen, On integer sequences with mutual k-residues

a(1)=11, a(2)=21, a(n)=-1+a(1)*a(2)*...*a(n-1)

a(n)=a(n)^2+10*a(n)-10, n>3

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(10, n), n=1..9);

Sequence in context: A034922 A015446 A083177 this_sequence A110383 A123783 A092806

Adjacent sequences: A110463 A110464 A110465 this_sequence A110467 A110468 A110469

nonn

Seppo Mustonen (seppo.mustonen(AT)helsinki.fi), Sep 11 2005