First, a story about how I messed up a puzzle:
It’s hard to make a simple yet creative number puzzle. After fiddling one late, dark winter evening with different patterns, at last I made a sequence of increasing numbers that I believed to be the smartest one ever.
Of course, I missed a little detail, as I do practically always when making puzzles at night so late, at 11:12. The sequence had been part of the OEIS!
Later, somebody searched OEIS, which gave the intended answer to the puzzle. Why does OEIS even contain such sequences? It isn’t even a mathematical progression! It is just a puzzle!
I have to take revenge. Should I find an unbelievably basic sequence which should be in the encyclopedia but isn’t? No, better yet, I’m finding some nice, random numbers that are in OEIS that you won’t get no matter what you search for!
They’re entirely, absolutely the products arising from my simple imagination. They can be discovered by looking at the clue hidden in plain view, and adding it at the location indicated by an isolated bunch of numbers. Good luck!
Now, find the pattern in this sequence:
3 6 8 11 13 14 22 25 27 35 37 45 60 80
*This is just a title. I do not hate OEIS. It's a good site.
OEIS stands for Online Encyclopedia of Integer Sequences, by the way.
Hint
I was surprised to see that some people counted the number of letters in words and yet missed an important clue...