A110459 Integers with mutual residues -7.

8, 15, 113, 13553, 183778673, 33774601936091633, 1140723735941444920716624925248113, 1301250641740207358399613061389386702544244320473228561469086797553

Offset

1,1

Comments

This is the special case k=7 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)=8, a(2)=15, a(n)=-1+a(1)*a(2)*...*a(n-1)

a(n)=a(n)^2+7*a(n)-7, 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(7, n), n=1..8);

Crossrefs

Sequence in context: A177165 A189003 A110294 * A132374 A346314 A361710

Adjacent sequences: A110456 A110457 A110458 * A110460 A110461 A110462

Keyword

nonn

Author

Seppo Mustonen, Sep 11 2005

Status

approved