Antidiagonal sums of the slanted Catalan convolution table A100247.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =15a(6) =29a(7) =63a(8) =160a(9) =333a(10) =749a(11) =1914a(12) =4135a(13) =9490a(14) =24335a(15) =53791a(16) =125104a(17) =321521a(18) =721887a(19) =1694914a(20) =4362855a(21) =9907851a(22) =23429158a(23) =60379623a(24) =138320021a(25) =328917615a(26) =848432824a(27) =1957091277a(28) =4674847097a(29) =12067450014