Based on the Regge phenomenology, we first study the mass relations for six mesons involving three flavors in one spin-parity multiplet. Using the examined mass relation, mass of the unobserved vector doubly heavy charm-bottom B-c(*)(1(3)S(1)) is calculated. Masses of the unobserved radial excited vector (2(3)S(1)) mesons and the orbital excited 1(3)G(5) meson nonet are given. Our predictions are discussed. We suggest searching B-c(*) near 6355 MeV. D(2600) and D-s1(2700) can be considered as candidates for (n) over barc(2(3)S(1)) and (s) over barc(2(3)S(1)) dominated states, respectively. We suggest searching B-c(*)(2S), B-c(*)(2S) and B-c(*)(2S) near 5812, 5917 and 6896 MeV, respectively. We suggest restudying rho(5)(2350) near 2259 MeV, searching Phi(5)(1(3)G(5)) near 2438 MeV and identifying omega(5)(2250) as isoscalar member of 1(3)G(5) nonet. The results may be profoundly useful for the J(P) assignment of related states and the discovery of the unobserved excited mesons.