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Search: id:A110455
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| A110455 |
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Integers with mutual residues -6. |
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+0
1
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| 7, 13, 85, 7729, 59783809, 3574104177251329, 12774220669845420831090695774209, 163180713721905992070758583926701857930269220543803914084220929
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OFFSET
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1,1
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COMMENT
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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
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LINKS
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S. Mustonen, On integer sequences with mutual k-residues
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FORMULA
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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
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MAPLE
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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);
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CROSSREFS
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Sequence in context: A098478 A061521 A073220 this_sequence A132373 A110293 A039687
Adjacent sequences: A110452 A110453 A110454 this_sequence A110456 A110457 A110458
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KEYWORD
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nonn
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AUTHOR
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Seppo Mustonen (seppo.mustonen(AT)helsinki.fi), Sep 11 2005
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