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%I #6 Jun 23 2013 10:31:26
%S 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,
%T 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,
%U 21,28,17,6,5,16,27,22,11
%N Angle between the two hands of a 12 hour analog clock n*12 minutes after noon/midnight, measured in units of minutes.
%C 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.
%C 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.
%C 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).
%F a(n) = A160278(n)/6.
%e 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).
%e 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).
%p 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
%Y Cf. A160278.
%K nonn
%O 0,2
%A William A. Hoffman III (whoff(AT)robill.com), May 07 2009
%E Edited by _R. J. Mathar_, May 12 2009
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