1,1

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}.

An infinite coprime sequence

Same as A005267 but two first terms in reverse order

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

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

a(n)=a(n-1)^2+a(n-1)-1, 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(1, n), n=1..10);

Cf. A000289.

Sequence in context: A107451 A093490 A073309 this_sequence A083388 A090475 A060301

Adjacent sequences: A110386 A110387 A110388 this_sequence A110390 A110391 A110392

nonn

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