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A087001 Left half of periodic part of decimal expansion of 1/p for those primes having a periodic part of even length. 4
142, 9, 769, 58823529, 526315789, 43478260869, 34482758620689, 21276595744680851063829, 16949152542372881355932203389, 163934426229508196721311475409, 1369, 1123595505617977528089 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

a(n) = floor(A086999(n)/10^A087000(n)); A055642(a(n))=A087000(n);

a(n) + A087002(n) = 10^A087000(n) - 1.

REFERENCES

H. Rademacher and O. Toeplitz, Von Zahlen und Figuren (Springer 1930, reprinted 1968), ch. 19, Die periodischen Dezimalbrueche.

LINKS

Eric Weisstein's World of Mathematics, Midy's Theorem

Index entries for sequences related to decimal expansion of 1/n.

EXAMPLE

p=17: A086999(4)=5882352941176470 -> [58823529][41176470] ->

A087001(4)=58823529, A087002(4)=41176470,

A087001(4)+A087002(4)=58823529+41176470=99999999.

CROSSREFS

Sequence in context: A172668 A172764 A172836 * A025379 A202279 A035702

Adjacent sequences:  A086998 A086999 A087000 * A087002 A087003 A087004

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 29 2003

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Last modified February 14 13:08 EST 2012. Contains 205623 sequences.