S-D transform of Catalan numbers A000108.

Terms

a(0) =1a(1) =2a(2) =3a(3) =9a(4) =19a(5) =72a(6) =181a(7) =752a(8) =2051a(9) =8902a(10) =25417a(11) =113249a(12) =333101a(13) =1510888a(14) =4538219a(15) =20853973a(16) =63626003a(17) =295288350a(18) =911918665a(19) =4265460227a(20) =13300767273a(21) =62608960656a(22) =196778953279a(23) =931129725342