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A110407
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Integers with mutual residues -2.
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2
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3, 5, 13, 193, 37633, 1416317953, 2005956546822746113, 4023861667741036022825635656102100993, 16191462721115671781777559070120513664958590125499158514329308740975788033
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OFFSET
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1,1
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COMMENTS
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This is the special case k=2 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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FORMULA
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a(1)=3, a(2)=5, a(n)=-2+a(1)*a(2)*...*a(n-1) [typo corrected by Vincenzo Librandi, Feb 08 2010]
a(n)=a(n-1)^2+2*a(n-1)-2, for 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(2, n), n=1..9);
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MATHEMATICA
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Join[{3, 5}, NestList[#^2+2#-2&, 13, 6]] (* Harvey P. Dale, Mar 05 2019 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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