It's not a complete coincidence. Very many sets of random numbers are uniformly distributed on a logarithmic scale. See for example Benford's Law.
Fibonacci numbers are just a rounded version of phi^x. So the only coincidences are 1. that the number of teams is such that phi is a good base, and 2. that the rounding all happened to go the right way.
The sequence starts with Spurs 0
I feel I must point out we have twenty league championships and calling it two as if football started in 1992 while perfectly understandable for this amusing exercise still pisses me off.
It’s a funny thing, fandom.
Really cool!
But in your next interview, just know that this is not the most computationally efficient way to generate the sequence.
It’s not a sequence if you produce it by ordering aggregates. Next year no matter what happens the sequence will be broken until at best everyone advances one place (so best case scenario in 21 years), or a new team wins 21 straight titles.
Now if in twenty one years the distribution has been maintained, there’s one new team and all the other teams have won Fib(n+1) - Fib(n) titles, or one team has won 21 straight titles, reproducing the sequence, I’ll come back in 2046 and eat my hat.
> while fans of the club will no doubt be celebrating this moment of triumph, another astounding facet of their achievement has caught the attention of mathematicians
mutual exclusivity most subtle
It's much less interesting than it seems because the data is aggregated and then sorted.
I don't know what the exact odds are, but if you waited until one team had won 13 times, you'd often end up with a distribution fairly similar to this.
+---------------------+------------------------+
| Club | Premier League Titles |
+---------------------+------------------------+
| Blackburn Rovers | 1 |
| Leicester City | 1 |
| Liverpool | 2 |
| Arsenal | 3 |
| Chelsea | 5 |
| Manchester City | 8 |
| Manchester United | 13 |
+---------------------+------------------------+
Its quite a good coincidence as the other 2 teams with 1 victory had no chance as 1 was already relegated previously and the the 2nd will be relegated . So any other team apart from Liverpool winning would have stopped the sequence from being created. Reading the comment I can see a lot of people don't understand the meaning of the words coincidence or sequence.
This could be a substory in Terry Pratchett's Discword. Some eccentric wizard combining mathematics with football.
I really like the observation that some very unlikely events happen all the time because there are just so many different ones that could happen.
...which may yet get undone if City are stripped of titles as a result of their 115 charges.
(I'm not holding my breath - my prediction would be the lightest slap on the wrist possible. Maybe a transfer ban for one window. Probably a 10 point deduction for Everton.)
Only the second time this has happened!!1!1!
Neat. We have some wiggle room to rig it by deciding what year to start the Premier League Table Wins (1992 or a more recent year).
I absolutely cannot wait to hear what QAnon has to say about this mathematical pattern occurring here.
I once had a room filled with an infinite number of monkeys typing on typewriters and one of them typed the source code of Windows ME. Now that's what I call mysterious!
Will there a new club pop-up getting 21 wins in a row declassing all other or are we at the end of times?
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