Kamano, Ken Sums of products of Bernoulli numbers, including poly-Bernoulli numbers. (English) Zbl 1238.11021 J. Integer Seq. 13, No. 5, Article ID 10.5.2, 10 p. (2010). Summary: We investigate sums of products of Bernoulli numbers including poly-Bernoulli numbers. A relation among these sums and explicit expressions of sums of two and three products are given. As a corollary, we obtain fractional parts of sums of two and three products for negative indices. Cited in 1 ReviewCited in 10 Documents MSC: 11B68 Bernoulli and Euler numbers and polynomials 11B73 Bell and Stirling numbers Keywords:poly-Bernoulli numbers; sums of products Software:OEIS PDFBibTeX XMLCite \textit{K. Kamano}, J. Integer Seq. 13, No. 5, Article ID 10.5.2, 10 p. (2010; Zbl 1238.11021) Full Text: EMIS Online Encyclopedia of Integer Sequences: a(n) = 2*(3^n) - 2^n. Poly-Bernoulli numbers B_n^(k) with k=-3. Poly-Bernoulli numbers B_n^(k) with k=-4.