Recently, a mean-field analysis of linear random A-B multiblock copolymer melts was introduced, taking the sequence distribution explicitly into account. Here, we extend this approach to mixtures with homopolymers P(C). Within the simple Flory-Huggins description, miscibility in random copolymer-homopolymer mixtures is often attributed to unfavorable A-B interactions described by a positive Flory-Huggins parameter χAB (intramolecular repulsion). The introduction of the sequence distribution sets an upper limit to this effect. For sufficiently large values of χAB the mixture phase separates again, very much like the pure copolymer melt. Likewise, miscibility improves in the direction of the alternating sequence distribution. Our analysis rat...