A Catalan transform of the Fibonacci numbers.

Terms

a(0) =0a(1) =1a(2) =2a(3) =6a(4) =19a(5) =63a(6) =215a(7) =749a(8) =2650a(9) =9490a(10) =34318a(11) =125104a(12) =459152a(13) =1694914a(14) =6287896a(15) =23429158a(16) =87635243a(17) =328917615a(18) =1238303243a(19) =4674847097a(20) =17692789741a(21) =67114622451a(22) =255120892105a(23) =971649360211