2 problems

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The exponential lower-bound conjecture for prime 2-ball passing patterns
For a fixed integer $k\geq 1$ , let $P'(2,n,k)$ denote the number of prime 2-ball, $k$ -hand passing patterns of length $n$ . As $n$ tends to infinity, Exponential lower-bound conject…
Conjectureopenasymptotic-enumeration enumerative-combinatorics juggling-patternsarXiv posted 2 days ago
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The generating-function conjecture for capacity-two multiplex juggling cards
Generating-function conjecture.
Conjectureopenenumerative-combinatorics generating-functions juggling-patternsarXiv posted 2 days ago

The exponential lower-bound conjecture for prime 2-ball passing patterns