A110462 Integers with mutual residues -8.

9, 17, 145, 22177, 491996737, 242060793154621057, 58593427582644242304230418504765697, 3433189755882575096320786725947643765954772037072168669374448906021377

Offset

1,1

Comments

This is the special case k=8 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)=9, a(2)=17, a(n)=-1+a(1)*a(2)*...*a(n-1)

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

Crossrefs

Sequence in context: A177200 A177166 A073221 * A132375 A110360 A371031

Adjacent sequences: A110459 A110460 A110461 * A110463 A110464 A110465

Keyword

nonn

Author

Seppo Mustonen, Sep 11 2005

Status

approved