|
| |
|
|
A111397
|
|
Composite numbers (modulo 3).
|
|
1
|
|
|
|
1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,3
|
|
|
COMMENTS
|
If you interpret this as a base 3 number then read as a decimal it would equal
0.4124999703972179190135867434954940067125524729635148630103267345...
whose continued fraction expansion is 0,2,2,2,1,4,5278,131,4,2,2,2,2,1,24,12,1,1,7,552,1,2,1,...,.
with increasing partial quotients 2,4,5278,66292,274715,420778,625399,...
|
|
|
LINKS
|
Table of n, a(n) for n=1..105.
|
|
|
FORMULA
|
a(n) == A002808(n) (mod 3).
|
|
|
MATHEMATICA
|
Composite[n_] := FixedPoint[n + PrimePi[ # ] + 1 &, n]; Table[ Mod[Composite[n], 3], {n, 105}]
|
|
|
CROSSREFS
|
Cf. A073867.
Sequence in context: A035177 A194591 A070105 * A131743 A147648 A113686
Adjacent sequences: A111394 A111395 A111396 * A111398 A111399 A111400
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Robert G. Wilson v, Nov 11 2005
|
|
|
STATUS
|
approved
|
| |
|
|
