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Summation formula involving harmonic numbers

✍ Scribed by Anthony Sofo

Publisher
Springer
Year
2011
Tongue
English
Weight
174 KB
Volume
37
Category
Article
ISSN
0133-3852

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We compute the number of all rhombus tilings of a hexagon with sides a, b q 1, c, a q 1, b, c q 1, of which the central triangle is removed, provided a, b, c , where B ␣ , ␀, β₯ is the number of plane partitions inside the ␣ = ␀ = β₯ box. The proof uses nonintersecting lattice paths and a new identit