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Search: id:A110459
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| A110459 |
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Integers with mutual residues -7. |
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+0
1
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| 8, 15, 113, 13553, 183778673, 33774601936091633, 1140723735941444920716624925248113, 1301250641740207358399613061389386702544244320473228561469086797553
(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=7 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)=8, a(2)=15, a(n)=-1+a(1)*a(2)*...*a(n-1)
a(n)=a(n)^2+7*a(n)-7, 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(7, n), n=1..8);
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CROSSREFS
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Sequence in context: A048732 A015442 A110294 this_sequence A132374 A067686 A145219
Adjacent sequences: A110456 A110457 A110458 this_sequence A110460 A110461 A110462
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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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