Sums of Products of Cauchy Numbers, Including Poly-Cauchy Numbers

Table 2

𝑛	0	1	2	3	4	5	6	7
𝑐𝑛̂	1	−1/2	5/6	−9/4	251/30	−475/12	19087/84	−36799/24
𝑐̂𝑛^(1)(−1)	1	−3/2	23/6	−55/4	1901/30	−4277/12	198721/84	−144747/8