A087002 Right half of periodic part of decimal expansion of 1/p for those primes having a periodic part of even length.

857, 0, 230, 41176470, 473684210, 56521739130, 65517241379310, 78723404255319148936170, 83050847457627118644067796610, 836065573770491803278688524590, 8630, 8876404494382022471910

Offset

1,1

Comments

a(n) = A086999(n) mod 10^A087000(n); A055642(a(n))=A087000(n);

A087001(n) + a(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.

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

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

Example

p=19: A086999(5)=526315789473684210 -> [526315789][473684210] ->
A087001(5)=526315789, A087002(5)=473684210,
A087001(5)+A087002(5)=526315789+473684210=999999999.

Crossrefs

Sequence in context: A198527 A234885 A251453 * A256743 A307330 A046394

Adjacent sequences: A086999 A087000 A087001 * A087003 A087004 A087005

Keyword

nonn,base

Author

Reinhard Zumkeller, Jul 29 2003

Status

approved