|
Search: id:A071875
|
|
|
| A071875 |
|
Decimal expansion of the eighth (of 10) decimal selvage number; the n-th digit of a decimal selvage number, x, is equal to the tenths digit of n*x. The eighth selvage number is equal to the complement of the third selvage number: s_8 = 1 - s_3. |
|
+0
1
|
|
| 7, 4, 2, 9, 7, 4, 2, 9, 6, 4, 1, 9, 6, 4, 1, 8, 6, 3, 1, 8, 6, 3, 0, 8, 5, 3, 0, 8, 5, 2, 0, 7, 5, 2, 0, 7, 4, 2, 9, 7, 4, 2, 9, 6, 4, 1, 9, 6, 4, 1, 8, 6, 3, 1, 8, 6, 3, 0, 8, 5, 3, 0, 8, 5, 2, 0, 7, 5, 2, 0, 7, 4, 2, 9, 7, 4, 2, 9, 6, 4, 1, 9, 6, 4, 1, 8, 6, 3, 1, 8, 6, 3, 0, 8, 5, 3, 0, 8, 5, 2
(list; cons; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
The selvage number, x = sum{k=1..inf} a(k)/10^k, is a normal number, but it is not known whether or not x is irrational. Is this sequence periodic?
|
|
LINKS
|
MathWorld, Equidistributed Sequence
|
|
FORMULA
|
a(n) = floor[10*(n*x)] (Mod 10), where x = sum{k=1..inf} a(k)/10^k. a(n) = 9 - A071791(n).
|
|
EXAMPLE
|
a(7) = 2 since floor(10*(7*x)) (Mod 10) = 2, x=0.74297429641964186318630853085207520742974296419641...
|
|
CROSSREFS
|
Cf. A071789, A071790, A071791, A071792, A071793.
Sequence in context: A071185 A165244 A019608 this_sequence A019857 A065477 A100041
Adjacent sequences: A071872 A071873 A071874 this_sequence A071876 A071877 A071878
|
|
KEYWORD
|
cons,easy,nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jun 10 2002
|
|
|
Search completed in 0.002 seconds
|
