What is this sequence? I was told, that every mathematician would know this sequence, because it's subject of research. Does anyone recognize it?
Thanks in advance, Florian
What is this sequence? I was told, that every mathematician would know this sequence, because it's subject of research. Does anyone recognize it?
Thanks in advance, Florian
This type of puzzle is underspecified; any integer could come next, and there would be nothing in the problem statement to show that that integer is not the correct solution.
Perhaps the following is what was in mind: consider the Collatz sequence starting with 7. It goes 7, 22, 11, 34, 17, 52, 26, 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. If you interleave this with the sequence 1, 2, 3, ... you get the sequence in the question.
Or perhaps it's the sequence of values of the polynomial $ (-1/60)(39x^6-934x^5+8800x^4-41300x^3+100451x^2-118116x+51000) $ when you plug in 1, 2, 3, 4, 5, 6, and 7.
Which answer you think is "best" is just a matter of taste.
I was told, that every mathematician would know this sequence
Mmm I highly doubt that.
The terms of odd rank are the dimensions of the irreducible representations of the Lie algebra sl(2).