Publications de l’Institut Mathématique, Nouvelle Série Vol. 100[114], No. 1/1, pp. 243–249 (2016) 

A NEW FORMULA FOR THE BERNOULLI NUMBERS OF THE SECOND KIND IN TERMS OF THE STIRLING NUMBERS OF THE FIRST KINDFeng QiInstitute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, ChinaAbstract: We find an explicit formula for computing the Bernoulli numbers of the second kind in terms of the signed Stirling numbers of the first kind. Keywords: explicit formula; Bernoulli numbers of the second kind; Stirling numbers of the first kind; harmonic number Classification (MSC2000): 11B68; 11B73; 11B83 Full text of the article: (for faster download, first choose a mirror)
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