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Search: id:A125704
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| A125704 |
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Table read by antidiagonals: row n contains the positive integers (in order) which are coprime to the n-th prime. |
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+0
2
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| 1, 1, 3, 1, 2, 5, 1, 2, 4, 7, 1, 2, 3, 5, 9, 1, 2, 3, 4, 7, 11, 1, 2, 3, 4, 6, 8, 13, 1, 2, 3, 4, 5, 7, 10, 15, 1, 2, 3, 4, 5, 6, 8, 11, 17, 1, 2, 3, 4, 5, 6, 8, 9, 13, 19, 1, 2, 3, 4, 5, 6, 7, 9, 11, 14, 21, 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 16, 23, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 17, 25, 1, 2, 3, 4, 5
(list; table; graph; listen)
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OFFSET
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1,3
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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FORMULA
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T(1,m)=A005408(m). T(2,m)=A001651(m). T(3,m)=A047201(m). T(4,m)=A047304(m). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 02 2007
T(n,m)=m-1+floor((m+p(n)-2)/(p(n)-1)) where p(n)=n-th prime [From Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 11 2009]
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EXAMPLE
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Beginning of table:
1,3,5,7,9,11,13,...
1,2,4,5,7,8,10,11,...
1,2,3,4,6,7,8,9,11,...
1,2,3,4,5,6,8,9,10,...
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MAPLE
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A125704 := proc(n, m) local p, i, a ; p := ithprime(n) ; a := 1 ; for i from 2 to m do a := a+1 ; while gcd(a, p) <> 1 do a := a+1 ; od ; od ; RETURN(a) ; end : maxdiag := 15 ; for d from 1 to maxdiag do for n from d to 1 by -1 do printf("%d, ", A125704(n, d-n+1)) ; od ; od; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 02 2007
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PROGRAM
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(PARI) T(n, m)=m-1+floor((m+prime(n)-2)/(prime(n)-1)) [From Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 11 2009]
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CROSSREFS
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Sequence in context: A123375 A021036 A080521 this_sequence A131127 A113141 A134225
Adjacent sequences: A125701 A125702 A125703 this_sequence A125705 A125706 A125707
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KEYWORD
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nonn,tabl
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AUTHOR
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Leroy Quet Jan 31 2007
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 02 2007
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