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MR593527 (83c:05003) 05A05 (05A19 17B05)
Foata, Dominique A combinatorial proof of Jacobi's identity. Combinatorial mathematics, optimal designs and their applications (Proc. Sympos. Combin. Math. and Optimal Design, Colorado State Univ., Fort Collins, Colo., 1978). Ann. Discrete Math. 6 (1980), 125--135.
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