  A Fuchsian system of rank 8 in 3 variables with 4 parameters is presented.
The singular locus consists of six planes and a cubic surface. The restriction
of the system onto the intersection of two singular planes is an ordinary
differential equation of order four with three singular points. A middle
convolution of this equation turns out to be the tensor product of two Gauss
hypergeometric equation, and another middle convolution sends this equation to
the Dotsenko-Fateev equation. Local solutions to these ordinary differential
equations are found. Their coefficients are sums of products of the Gamma
functions. These sums can be expressed as special values of the generalized
hypergeometric series $_4F_3$ at 1.
  Keywords: Fuchsian differential equation, hypergeometric differential
equation, middle convolution, Dotsenko-Fateev equation, recurrence formula,
series solution
