1,1

This is the special case k=3 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)=4, a(2)=7, a(n)=-1+a(1)*a(2)*...*a(n-1)

a(n)=a(n)^2+3*a(n)-3, 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(3, n), n=1..9);

Sequence in context: A129418 A073218 A151348 this_sequence A075686 A077441 A076148

Adjacent sequences: A110410 A110411 A110412 this_sequence A110414 A110415 A110416

nonn

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