Name
Abstract | ||
|---|---|---|
From numerical experiments, D. E. Knuth conjectured that 0 < Dn+4 < Dn for a combinatorial sequence (Dn) defined as the dierence 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. |
Year | Venue | Field |
|---|---|---|
1996 | Experimental Mathematics | Topology,Hypergeometric distribution,Mathematical analysis,Conjecture,Mathematics |
DocType | Volume | Issue |
Journal | 5 | 2 |
Citations | PageRank | References |
1 | 0.42 | 3 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Peter Paule | 1 | 54 | 8.55 |