A110455 Integers with mutual residues -6.

7, 13, 85, 7729, 59783809, 3574104177251329, 12774220669845420831090695774209, 163180713721905992070758583926701857930269220543803914084220929

Offset

1,1

Comments

This is the special case k=6 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)=7, a(2)=13, a(n)=-1+a(1)*a(2)*...*a(n-1)

a(n)=a(n)^2+6*a(n)-6, 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(6, n), n=1..8);

Crossrefs

Sequence in context: A061521 A362246 A073220 * A177952 A320461 A132373

Adjacent sequences: A110452 A110453 A110454 * A110456 A110457 A110458

Keyword

nonn

Author

Seppo Mustonen, Sep 11 2005

Status

approved