A110466 Integers with mutual residues -10.

11, 21, 221, 51041, 2605694081, 6789641669815375361, 46099234004493318683404288695479633921, 2125139375801033098865842355143570823564637490880685503089270581842970173441

Offset

1,1

Comments

This is the special case k=10 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)=11, a(2)=21, a(n)=-1+a(1)*a(2)*...*a(n-1)

a(n)=a(n)^2+10*a(n)-10, 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(10, n), n=1..9);

Crossrefs

Sequence in context: A015446 A254208 A083177 * A110383 A123783 A163288

Adjacent sequences: A110463 A110464 A110465 * A110467 A110468 A110469

Keyword

nonn

Author

Seppo Mustonen, Sep 11 2005

Status

approved