Generalized Catalan array FS(3; n,r).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =3a(7) =3a(8) =3a(9) =1a(10) =3a(11) =6a(12) =9a(13) =12a(14) =12a(15) =12a(16) =1a(17) =4a(18) =10a(19) =19a(20) =31a(21) =43a(22) =55a(23) =55a(24) =55a(25) =1a(26) =5a(27) =15a(28) =34a(29) =65