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JSC
2007
104views more  JSC 2007»
12 years 1 months ago
Summation algorithms for Stirling number identities
We consider a class of sequences defined by triangular recurrence equations. This class contains Stirling numbers and Eulerian numbers of both kinds, and hypergeometric multiples...
Manuel Kauers
JCT
2007
107views more  JCT 2007»
12 years 1 months ago
On a conjecture of Wilf
Abstract. Let n and k be natural numbers and let S(n, k) denote the Stirling numbers of the second kind. It is a conjecture of Wilf that the alternating sum nX j=0 (−1)j S(n, j) ...
Stefan De Wannemacker, Thomas Laffey, Robert Osbur...
JCT
2006
79views more  JCT 2006»
12 years 1 months ago
Reciprocity for multirestricted Stirling numbers
Multirestricted Stirling numbers of the second kind count the number of partitions of a given set into a given number of parts, each part being restricted to at most a fixed number...
Ji Young Choi, Ling Long, Siu-Hung Ng, Jonathan Sm...
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