A086999 Periodic part of decimal expansion of 1/p for those primes having a periodic part of even length.

142857, 90, 769230, 5882352941176470, 526315789473684210, 4347826086956521739130, 3448275862068965517241379310, 2127659574468085106382978723404255319148936170

Offset

1,1

Comments

A087001(n)=floor(a(n)/10^A087000(n)), A087002(n)=a(n) mod 10^A087000(n);

A087001(n) + A087002(n) = 10^A087000(n) - 1;

a(n) = A087001(n)*10^A087000(n) + A087002(n).

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..8.

Eric Weisstein's World of Mathematics, Decimal Expansion

Eric Weisstein's World of Mathematics, Repeating Decimal

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

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

Example

p=73: a(11)=A060283(21)=13698630 -> [1369][8630] ->
A087001(11)=1369, A087002(11)=8630, A087001(11)+A087002(11)=1369+8630=9999.

Crossrefs

a(n)=A060283(A049084(A0A028416(n))), A002283.

Sequence in context: A204287 A256630 A263037 * A175694 A023089 A166320

Adjacent sequences: A086996 A086997 A086998 * A087000 A087001 A087002

Keyword

nonn,base

Author

Reinhard Zumkeller, Jul 29 2003

Status

approved