A Timely Surprise

When searching for interesting properties associated with the number (27491) representing my diurnal age, I encountered OEIS A335789:

A335789

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

The initial members of the sequence are: 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

Clock face after 27491 seconds from midnight

The comment is made that "after 12 hours or 43200 seconds, the hands overlap at 12:00 and the cycle repeats". What surprised me was that I was the author of this sequence, approved on August 14th of 2020, under the pseudonym of Sean Lestrange. I wrote about this sequence and related matters in a blog post titled Sexagesimal Number System on the same date. I'd quite forgotten about until I received this pleasant reminder.

Of course I no longer propose new sequences to the OEIS for reasons I've explained but I continue to make daily use of it. It's not the enormous body of sequences contained in the OEIS that I have a problem with. Instead it's the people who control the approval process.

This number of seconds corresponds to 7 hours 38 minutes 11 seconds. Figure 1 shows the clock's appearance for all those times when the hour and minute hands of the clock coincide (source).

It will be quite a while before the hour and minute hands of the clock overlap again when reckoning one second of clock time equal to one day of my lifetime. Tuesday, April 10th 2035 to be precise.