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Search: id:A087001
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| A087001 |
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Left half of 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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| 142, 9, 769, 58823529, 526315789, 43478260869, 34482758620689, 21276595744680851063829, 16949152542372881355932203389, 163934426229508196721311475409, 1369, 1123595505617977528089
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OFFSET
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1,1
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COMMENT
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a(n) = floor(A086999(n)/10^A087000(n)); A055642(a(n))=A087000(n);
a(n) + A087002(n) = 10^A087000(n) - 1.
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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, Midy's Theorem
Index entries for sequences related to decimal expansion of 1/n.
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EXAMPLE
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p=17: A086999(4)=5882352941176470 -> [58823529][41176470] ->
A087001(4)=58823529, A087002(4)=41176470,
A087001(4)+A087002(4)=58823529+41176470=99999999.
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CROSSREFS
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Sequence in context: A164525 A153358 A066627 this_sequence A025379 A035702 A029703
Adjacent sequences: A086998 A086999 A087000 this_sequence A087002 A087003 A087004
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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)gmail.com), Jul 29 2003
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