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A110455 Integers with mutual residues -6. 0
7, 13, 85, 7729, 59783809, 3574104177251329, 12774220669845420831090695774209, 163180713721905992070758583926701857930269220543803914084220929 (list; graph; refs; listen; history; text; internal format)
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: A268350 A061521 A073220 * A177952 A320461 A132373

Adjacent sequences:  A110452 A110453 A110454 * A110456 A110457 A110458

KEYWORD

nonn

AUTHOR

Seppo Mustonen, Sep 11 2005

STATUS

approved

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Last modified January 25 10:03 EST 2022. Contains 350565 sequences. (Running on oeis4.)