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Search: id:A110407
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| A110407 |
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Integers with mutual residues -2. |
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+0
2
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| 3, 5, 13, 193, 37633, 1416317953, 2005956546822746113, 4023861667741036022825635656102100993, 16191462721115671781777559070120513664958590125499158514329308740975788033
(list; graph; listen)
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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=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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S. Mustonen, On integer sequences with mutual k-residues
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FORMULA
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a(1)=3, a(2)=5, a(n)=-1+a(1)*a(2)*...*a(n-1)
a(n)=a(n-1)^2+2*a(n-1)-2, for n>3.
Apparently a(n)=A003010(n-2)-1 for n>=3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 22 2007
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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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CROSSREFS
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Sequence in context: A121533 A087170 A123370 this_sequence A062698 A128341 A028942
Adjacent sequences: A110404 A110405 A110406 this_sequence A110408 A110409 A110410
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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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