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Search: id:A086999
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| A086999 |
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Periodic part of decimal expansion of 1/p for those primes having a periodic part of even length. |
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+0
4
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| 142857, 90, 769230, 5882352941176470, 526315789473684210, 4347826086956521739130, 3448275862068965517241379310, 2127659574468085106382978723404255319148936170
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A087001(n)=floor(a(n)/10^A087000(n)), A087002(n)=a(n) mod 10^A087000(n);
A087001(n) + A087002(n) = 10^A087000(n) - 1;
a(n) = A087001(n)*10^A087000(n) + A087002(n).
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REFERENCES
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H. Rademacher and O. Toeplitz, Von Zahlen und Figuren (Springer 1930, reprinted 1968), ch. 19, Die periodischen Dezimalbrueche.
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LINKS
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Eric Weisstein's World of Mathematics, Decimal Expansion
Eric Weisstein's World of Mathematics, Repeating Decimal
Eric Weisstein's World of Mathematics, Midy's Theorem
Index entries for sequences related to decimal expansion of 1/n.
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EXAMPLE
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p=73: a(11)=A060283(21)=13698630 -> [1369][8630] ->
A087001(11)=1369, A087002(11)=8630, A087001(11)+A087002(11)=1369+8630=9999.
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CROSSREFS
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a(n)=A060283(A049084(A0A028416(n))), A002283.
Sequence in context: A018234 A036527 A032747 this_sequence A023089 A101202 A004042
Adjacent sequences: A086996 A086997 A086998 this_sequence A087000 A087001 A087002
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KEYWORD
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nonn,base
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jul 29 2003
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