[math-fun] New sequence
I occasionally read the libertairan law blog "The Volokh Conspiracy", www.volokh.com. Contributor Kevan Choset posts a daily puzzle; some are mathematical, while others have answers like "this is the sequence of middle initials of US presidents". Yesterday's ( http://volokh.com/posts/1137083661.shtml ) was: What's the next number in this sequence? 13, 14, 6, 7, 12, 8, 16, 9, 13, 10, 15, 11, 12, 23, 6, 1, 2, ___ Turns out that this is just the tail of the sequence -- smart, since it begins with a whole lot of 1s. The whole thing is: 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 2, 1, 1, 1, 4, 2, 2, 1, 1, 1, 1, 3, 1, 2, 1, 1, 3, 4, 1, 5, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 6, 7, 1, 1, 2, 3, 1, 2, 3, 1, 4, 1, 3, 5, 1, 2, 1, 4, 2, 4, 3, 1, 2, 8, 1, 3, 6, 1, 6, 7, 1, 2, 9, 4, 5, 3, 3, 1, 10, 6, 8, 11, 7, 9, 2, 2, 12, 8, 5, 13, 6, 7, 14, 15, 5, 2, 17, 18, 4, 8, 19, 9, 3, 9, 6, 2, 9, 2, 9, 2, 10, 2, 2, 7, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 3, 3, 3, 8, 3, 3, 3, 3, 9, 4, 4, 4, 4, 4, 10, 5, 5, 21, 3, 4, 4, 4, 5, 8, 11, 5, 22, 12, 6, 6, 5, 11, 6, 9, 7, 12, 5, 4, 5, 3, 2, 2, 4, 8, 6, 3, 2, 10, 6, 7, 3, 3, 2, 4, 4, 5, 13, 5, 7, 14, 9, 8, 11, 5, 15, 8, 10, 7, 9, 10, 11, 8, 12, 11, 13, 13, 12, 14, 13, 14, 6, 7, 12, 8, 16, 9, 13, 10, 15, 11, 12, 23, 6, 1, 2, ___ ...according to http://tinyurl.com/3zz35 -- I've disguised the source, another on-line encyclopedia, whose identity might give away the answer, so them as like can puzzle over it first. I don't recall OEIS standards well enough to know whether this qualifies for inclusion; NJAS, do as you like. Either link above will reveal the answer. --Michael Kleber -- It is very dark and after 2000. If you continue you are likely to be eaten by a bleen.
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Michael Kleber