IDENTITIES INVOLVING RATIONAL SUMS BY INVERSION AND PARTIAL FRACTION DECOMPOSITION

Identities appearing recentlyin: {sc J. L. D'{i}az-Barrero, J. Gibergans-B'agu-ena, P. G. Popescu:}{it Some identities involving rational sums}. Appl. Anal. Discrete Math., {f 1} (2007), 397--402, aretreated by inverting them; the resulting sums areevaluated using partial fraction decomposition, following{sc Wenchang Chu:} {it A binomial coefficient identity associated with {B}eukers' conjectureon {A}p'ery numbers.} Electron. J. Combin., {f 11} (1): Note 15, 3 pp. (electronic), 2004.This approach produces a general formula, not only special cases.