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2,1,1,1,1,1,1,2,1,1,1,3,1,_,_,_

What are the next 3 numbers in the sequence?

I can think of one sequence that ends right there.

Lists a prime factor (in order of increasing value) of 12 and then the result, in unary (ie, just that many 1's), of dividing 12 by the product of the prime factors listed so far

12/2 = 6, so six ones

12/(2*2) = 3, so 3 ones

12/(2*2*3) = 1, so 1 one

Of course, I don't think this is "right"....but its a (remote) possibility.

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I can think of one sequence that ends right there.

Lists a prime factor (in order of increasing value) of 12 and then the result, in unary (ie, just that many 1's), of dividing 12 by the product of the prime factors listed so far

12/2 = 6, so six ones

12/(2*2) = 3, so 3 ones

12/(2*2*3) = 1, so 1 one

Of course, I don't think this is "right"....but its a (remote) possibility.

Certainly a great guess, but like you said, it doesn't go past the final given "1" and therefore cannot fill the 3 blanks. Good looks though.

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A palindrome's not what I had in mind, and also an easy out to any sequence :) I'm not quite seeing how you're example is a palindrome though unless 5 is the center.

The whole sequence is not a palindrome...the segments....like 21111112, 1113111, 41111114, 1115111...well you said its wrong so I have to ry another solution :D

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OK, here's a small hint. This hint is actually a riddle, but may help to get you started.

Perhaps coffee would shed some light onto this one

Maybe it's not fair to post a riddle within a puzzle :huh: so I'll make this one a solid clue:

What's another word for coffee? ...Java(slang, but it works). And what also claims the name Java? Look at this one through the eyes of a computer programmer.

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2,3,1?

2,1,1,1,1,1,1

2,1,1,1,3,1 (3 is 1,1 in binary)

2,3,1,3,1 (thought it could be the first assuming that the patterns skips a 1 and the converts the next pair to 3)

There are other ways the pattern could start changing 1,1 to 3.

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2,3,1?

2,1,1,1,1,1,1

2,1,1,1,3,1 (3 is 1,1 in binary)

2,3,1,3,1 (thought it could be the first assuming that the patterns skips a 1 and the converts the next pair to 3)

There are other ways the pattern could start changing 1,1 to 3.

No, but good guess. Just so you don't keep trekking down this path, it is the wrong direction.

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OK, maybe this one is too hard or it just plain ain't that good, so here's another hint to get the snowball rolling again:

I hinted before about programming so:

When you count apples, with what number do you start counting? 1 of course.

When you count while programming, with what number do you start?

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