A110413 Integers with mutual residues -3.

4, 7, 25, 697, 487897, 238044946297, 56665396458255748851097, 3210967155771303165846414430093064202724656697

Offset

1,1

Comments

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

Links

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

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

Formula

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

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(3, n), n=1..9);

Crossrefs

Sequence in context: A219700 A151348 A211942 * A075686 A077441 A378100

Adjacent sequences: A110410 A110411 A110412 * A110414 A110415 A110416

Keyword

nonn

Author

Seppo Mustonen, Sep 11 2005

Status

approved