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Search: id:A110462
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| A110462 |
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Integers with mutual residues -8. |
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+0
1
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| 9, 17, 145, 22177, 491996737, 242060793154621057, 58593427582644242304230418504765697, 3433189755882575096320786725947643765954772037072168669374448906021377
(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=8 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)=9, a(2)=17, a(n)=-1+a(1)*a(2)*...*a(n-1)
a(n)=a(n)^2+8*a(n)-8, 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(8, n), n=1..8);
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CROSSREFS
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Sequence in context: A121442 A049440 A073221 this_sequence A132375 A110360 A123836
Adjacent sequences: A110459 A110460 A110461 this_sequence A110463 A110464 A110465
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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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