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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 2, Pages 431-435
doi:10.1155/S0161171299224313

A short proof of an identity of Sylvester

Gaurav Bhatnagar

Department of Mathematics, The Ohio State University, Columbus 43210, OH, USA

Abstract

We present two short proofs of an identity found by Sylvester and rediscovered by Louck. The first proof is an elementary version of Knuth's proof and is analogous to Macdonald's proof of a related identity of Milne. The second is Sylvester's own proof of his identity.