A087001 Left half of periodic part of decimal expansion of 1/p for those primes having a periodic part of even length.

142, 9, 769, 58823529, 526315789, 43478260869, 34482758620689, 21276595744680851063829, 16949152542372881355932203389, 163934426229508196721311475409, 1369, 1123595505617977528089

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

Table of n, a(n) for n=1..12.

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, Jul 29 2003

Status

approved