|
Search: id:A160272
|
|
|
| A160272 |
|
Angle between the two hands of a 12 hour analog clock n*12 minutes after noon/midnight, measured in units of minutes. |
|
+0
2
|
|
| 0, 11, 22, 27, 16, 5, 6, 17, 28, 21, 10, 1, 12, 23, 26, 15, 4, 7, 18, 29, 20, 9, 2, 13, 24, 25, 14, 3, 8, 19, 30, 19, 8, 3, 14, 25, 24, 13, 2, 9, 20, 29, 18, 7, 4, 15, 26, 23, 12, 1, 10, 21, 28, 17, 6, 5, 16, 27, 22, 11
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
The hour-hand movement is "quantized": the hour-hand has 60 "states" between minute-mark 0 and minute-mark 59; the minute hand is thus constrained to 12-minute steps.
The angle is defined as the smaller of the two angles, the one in the range 0 to 180 degrees. The sequence reverses at 06:00 (angle N=30 minutes), and recycles from N=0 at 12:00.
Other times can have any gap between 0 and 30 minutes, but they will not have the hour-hand precisely registered (e.g., 04:54:32.73 has a 30 minute gap, but the hour hand has moved off the 54th mark).
|
|
FORMULA
|
a(n) = A160278(n)/6 .
|
|
EXAMPLE
|
00:00 has no gap between hands viewed normally (N=0); at 00:12, the minute hand points at the 12th minute-marking and the hour hand points at the 1st minute-marking (N=11)
At 00:36, the minute hand points at the 36th minute-marking and the hour hand points at the 3rd minute-marking, but N<>33, because the minimum gap is found clockwise: 24 +3 (N=27).
|
|
MAPLE
|
A160278 := proc(n) m := (n*66 ) mod 360 ; if m < 180 then m; else 360-m; fi; end: A160272 := proc(n) A160278(n)/6 ; end: seq(A160272(n), n=0..60) ; # R. J. Mathar, May 12 2009
|
|
CROSSREFS
|
Cf. A160278.
Sequence in context: A095779 A062055 A066500 this_sequence A164006 A054728 A013576
Adjacent sequences: A160269 A160270 A160271 this_sequence A160273 A160274 A160275
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
William A. Hoffman III (whoff(AT)robill.com), May 07 2009
|
|
EXTENSIONS
|
Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 12 2009
|
|
|
Search completed in 0.002 seconds
|
