25

Try looking at this another way round. Specifically: The answer is beneath this spoiler - but try to solve it yourself first before you look. You see, all of these are: The giveaway is:


15

It's pointing you to The code is a I figured this out by noticing that


14

@athin has found the mathematical pattern in the sequence and created a useful general way to display it pictorially (go see their post and upvote). However, a slightly more accurate diagrammatic rendering would be as follows: This is because the sequence reflects: The significance of 23 March in the hints is that: The pattern emerges as: Why does the ...


13

Look at them like this: Further explanation:


13

I think the answer is Reasoning


10

I think the next element of the sequence is Reasoning


10

The next element in the sequence is: Why? Because each item in this sequence corresponds to: If you're interested in calculating further terms of the sequence...


10

The sequence can be visually illustrated as the following: For the mystery part, it also somewhat illustrates: The formula of the sequence is:


10



10

This is my first time using this site so bear with me if I don't know what I'm doing. Answered this but it was deleted? So I'll try again.


10

Partial answer Note: I have had this sat in the edit-box for about the last 18 hours, because I didn't feel that it was enough to post (since it conspicuously fails to explain the first two terms, and I'm pretty sure something more "concrete" is intended). But I see someone else has posted a partial with even less in it, so I'm posting this too. Of ...


9

The sequence is Proof: Trivia: Therefore, the next term in the sequence is


9

The code is ... Because


9

The next term is: As these terms are to be read as:


9

The next fraction is because In other words,


7

where By this logic T(9) is


7

The answer is The starting number:


7

The kinda-famous tells us that where and therefore So


7

Most of the work has already been done by @Florian F and @Gareth McCaughan. Based on their insights here is a geometric reading that I believe covers all cases: Based on this I claim that the subsequent terms are Re OP's latest hint: If you like this answer and haven't already done so make sure to also check out Florian's and especially Gareth's answers ...


7

The next three numbers are: The pattern:


6

My answer is


6

I think the answer is Reasoning


6

Partial Answer From Googling about a bit it seems like all the words are In particular, the correspondence seems to be Why did I run around crazy for after this? What's my problem? No idea on the Bonus but maybe somebody else will get inspiration.


6

I think the length of the longest such sequence is Proof of upper bound Proof of lower bound How did I find such a sequence As Florian F has pointed out in the comments there is a simpler integer choice. Given that And pushing this Fibonacci link a bit further we know that


6

I believe these are the numbers known as: Like so: The next number in the sequence is: Moreover:


6

You do this until you get So the answer is


6



6

The next number in the sequence is Reasoning


5

The sequence can be described by this rule: Which means that:


5

Will the sequence contain a "6" At what position Reasoning


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