A Proof of a Conjecture of Knuth
نویسنده
چکیده
From numerical experiments, D. E. Knuth conjectured that 0 < Dn+4 < Dn for a combinatorial sequence (Dn) defined as the difference Dn = Rn − Ln of two definite hypergeometric sums. The conjecture implies an identity of type Ln = bRnc, involving the floor function. We prove Knuth’s conjecture by applying Zeilberger’s algorithm as well as classical hypergeometric machinery.
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ورودعنوان ژورنال:
- Experimental Mathematics
دوره 5 شماره
صفحات -
تاریخ انتشار 1996