A034763 Dirichlet convolution of primes (with 1) with Catalan numbers.

1, 3, 5, 12, 21, 60, 145, 461, 1455, 4920, 16825, 58937, 208049, 743218, 2674539, 9695792, 35357723, 129647876, 477638761, 1767273109, 6564120913, 24466300714, 91482563719, 343059732922, 1289904147511, 4861946817610