A242063 Analog clock times where the minute hand is on the hour hand (in hhmm format).

0, 105, 211, 316, 422, 527, 633, 738, 844, 949, 1055

Offset

1,2

Comments

The format is loosely defined - leading zeros of both hours and minutes disappear.

Changing the tolerance in the JavaScript program changes the results - try 0.01 for example, and we are allowed 10:54.

It is debatable whether 00:00 should be 12:00, but I have used 00:00. As the clock is analog, 13:05 is not valid - am and pm is usually left to discretion.

Links

Table of n, a(n) for n=1..11.

Maths is Fun, Analog Clock

Maths is Fun, Set the time

NAWCC, How do clocks work?

Wikipedia, Clocks

Wikipedia, Watches

Formula

a(n) = a(n-1) + a(n-2) - a(n-3) for n=4..11. - Colin Barker, Aug 19 2014

a(n) = (-423 - (-1)^n + 422*n)/4 for n=1..11. - Colin Barker, Aug 19 2014

Example

At 04:22 the minute hand covers the hour hand.

Prog

(JavaScript)
for (h=0; h<12; h++)
for (m=0; m<60; m++)
if (Math.abs(h/12+m/720-m/60)<0.007) {if (m<10) m="0"+m; document.write(h.toString()+m+", "); }

Crossrefs

Cf. A178181, A183032, A183033.

Sequence in context: A214082 A069692 A212665 * A228307 A179143 A176878

Adjacent sequences: A242060 A242061 A242062 * A242064 A242065 A242066

Keyword

fini,full,nonn

Author

Jon Perry, Aug 13 2014

Status

approved