

A335789


a(n) = time to the nearest second at the nth instant (n>=0) when the hour and minute hands on a clock face coincide, starting at time 0:00.


1



0, 3927, 7855, 11782, 15709, 19636, 23564, 27491, 31418, 35345, 39273, 43200, 47127, 51055, 54982, 58909, 62836, 66764, 70691, 74618, 78545, 82473, 86400, 90327, 94255, 98182, 102109, 106036, 109964, 113891, 117818, 121745, 125673, 129600, 133527, 137455, 141382
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OFFSET

0,2


COMMENTS

After 12 hours or 43200 seconds, the hands overlap at 12:00 and the cycle repeats.


LINKS

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,1,1).


FORMULA

a(n) = round(n*43200/11).


EXAMPLE

For n=1, 3927 would correspond to slightly after 01:05.


PROG

(SageMath)
L=[]
n=0
while n<50:
L.append(round(numerical_approx((n+n/11))*3600))
n+=1
print(L)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



