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Results tagged with sequences-and-series
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user 7092
for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.
1
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If $a_1=1$ and $a_n=\sec (a_{n-1})$ then what does the proportion of positive terms approach...
$\DeclareMathOperator{\arcsec}{arcsec}$
A quick heuristic argument: we can assume that values of secant mod $\pi$ are equidistributed. Then using symmetry, consider the graph of secant over the $[0, \ …
- 1,951
1
vote
Indexing schemes of binary sequences
You want Volume 4, Fascicle 3 of Knuth's The Art of Computer Programming, chapter 7.2.1.3: "Generating All Combinations" - I won't include links because everyone has a favorite online bookseller, but …
- 1,951