Dirichlet convolution of b_n=2^(n-1) with Catalan numbers.

Terms

a(0) =1a(1) =3a(2) =6a(3) =15a(4) =30a(5) =82a(6) =196a(7) =575a(8) =1694a(9) =5418a(10) =17820a(11) =60986a(12) =212108a(13) =751420a(14) =2690912a(15) =9728639a(16) =35423206a(17) =129779210a(18) =477900844a(19) =1767797906a(20) =6565169652a(21) =24468398788a(22) =91486757944a(23) =343068124346