26

The rule of the sequence is: Example & Answer:


10

The next number is:


9

The next value is The pattern is


9

There seems to be an error in the sequence. However, the result is the same even after this mistake:


8

Strongly inspired by Mahdi Mahmoodian's answer:


7

Just putting down ideas/solutions as I think of them (Have all) Got number 10 after the hint


7

The rule is:


5

I got an idea but it's not complete yet. I will update it as soon as I find something else: Also, I find something that applies to the first 4 number: But after $48$ it doesn't work. So after all I know one thing about the answer:


5



5

This is Very Tricky! Here are the most obvious patterns that come to mind: Left branch: Top branch: Right branch: Bottom branch: But then there's the metapattern, that is, the pattern of patterns, that doesn't look quite right: That doesn't fit the puzzle's aesthetics at all, but what can we do? So the initial values in the right branch were ...


5

The next number is and the previous two were These are


5

because:


5

I solved 8 of them by myself. I was inspired by the @Nobody's answer with the 5th and 6th one. I've already completed all the solutions: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.


4

Values: Because:


3

Okay, so this puzzle has been bothering me for a few days. I still don't have a good solution, but I thought I'd share my thoughts about it. I'm just hoping that somehow this helps someone see something, but really I have no idea and probably nothing here is particularly useful.


2

I think it's because so we continue with meaning


1

Here is my answer, along with some reasoning for it.


1

This was the only pattern I saw: 15, 18, 30, 39, 54, 69, 78, 90, 93 <-- starting 5 3 6 3 10 3 13 3 18 3 23 3 26 3 30 3 31 3 <-- factors (5*3 etc) 1 4 3 5 5 3 4 1 <-- difference between non-3 Now what jumped out at me was ...


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