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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
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Accepted
Shifting an irrational binary sequence
No, there's no irrational $s$ with this property. Here's a concrete hands-on argument. (This may be equivalent to Ville Salo's comment, but I'm not familiar with that terminology.)
The sequence $d = s …