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Search: id:A087002
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| A087002 |
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Right 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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| 857, 0, 230, 41176470, 473684210, 56521739130, 65517241379310, 78723404255319148936170, 83050847457627118644067796610, 836065573770491803278688524590, 8630, 8876404494382022471910
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OFFSET
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1,1
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COMMENT
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a(n) = A086999(n) mod 10^A087000(n); A055642(a(n))=A087000(n);
A087001(n) + a(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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Index entries for sequences related to decimal expansion of 1/n.
Eric Weisstein's World of Mathematics, Midy's Theorem
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EXAMPLE
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p=19: A086999(5)=526315789473684210 -> [526315789][473684210] ->
A087001(5)=526315789, A087002(5)=473684210,
A087001(5)+A087002(5)=526315789+473684210=999999999.
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CROSSREFS
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Sequence in context: A085323 A105275 A100969 this_sequence A046394 A163304 A108822
Adjacent sequences: A086999 A087000 A087001 this_sequence A087003 A087004 A087005
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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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