A110463 Integers with mutual residues -9.

10, 19, 181, 34381, 1182362581, 1397981283590244781, 1954351669268628414383088499809940981, 3819490447173074341052986454970501004004783894423555148483555928992711181

Offset

1,1

Comments

This is the special case k=9 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)=10, a(2)=19, a(n)=a(1)*a(2)*...*a(n-1) - 9.

a(n)=a(n)^2+9*a(n)-9, 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(9, n), n=1..8);

Crossrefs

Sequence in context: A177167 A299575 A073222 * A121725 A110368 A006050

Adjacent sequences: A110460 A110461 A110462 * A110464 A110465 A110466

Keyword

nonn

Author

Seppo Mustonen, Sep 11 2005

Status

approved