A110445 Integers with mutual residues -5.

6, 11, 61, 4021, 16188541, 262068940651381, 68680129654138367181280464061, 4716960209309256311616420732713790878862755260077914932021

Offset

1,1

Comments

This is the special case k=5 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

Links

Table of n, a(n) for n=1..8.

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

Formula

a(1)=6, a(2)=11, a(n)=-1+a(1)*a(2)*...*a(n-1)

a(n)=a(n)^2+5*a(n)-5, n>3

Maple

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(5, n), n=1..8);

Crossrefs

Sequence in context: A289285 A073219 A365496 * A305608 A128387 A061519

Adjacent sequences: A110442 A110443 A110444 * A110446 A110447 A110448

Keyword

nonn

Author

Seppo Mustonen, Sep 11 2005

Status

approved