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

Terms

a(0) =1a(1) =3a(2) =5a(3) =12a(4) =21a(5) =60a(6) =145a(7) =461a(8) =1455a(9) =4920a(10) =16825a(11) =58937a(12) =208049a(13) =743218a(14) =2674539a(15) =9695792a(16) =35357723a(17) =129647876a(18) =477638761a(19) =1767273109a(20) =6564120913a(21) =24466300714a(22) =91482563719a(23) =343059732922