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  • @techreport{RISC4182,
    author = {Manuel Kauers and Doron Zeilberger},
    title = {{The Computational Challenge of Enumerating High Dimensional Rook Paths}},
    language = {english},
    abstract = {We provide guessed recurrence equations for the counting sequences of rook paths on d-dimensional chess boards starting at (0..0) and ending at (n..n), where d=2,3,...,12. Our recurrences suggest refined asymptotic formulas of these sequences. Rigorous proofs of the guessed recurrences as well as the suggested asymptotic forms are posed as challenges to the reader.},
    number = {1011.4671},
    year = {2010},
    institution = {ArXiv},
    length = {5}
    }