|
| |
|
|
A086999
|
|
Periodic part of decimal expansion of 1/p for those primes having a periodic part of even length.
|
|
3
| |
|
|
142857, 90, 769230, 5882352941176470, 526315789473684210, 4347826086956521739130, 3448275862068965517241379310, 2127659574468085106382978723404255319148936170
(list; graph; refs; listen; history; internal format)
|
|
|
|
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
| 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: A195438 A164527 A204287 * A175694 A023089 A166320
Adjacent sequences: A086996 A086997 A086998 * A087000 A087001 A087002
|
|
|
KEYWORD
| nonn,base
|
|
|
AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 29 2003
|
| |
|
|
