Convolution of partition numbers and Catalan numbers.

Terms

a(0) =1a(1) =2a(2) =5a(3) =12a(4) =31a(5) =84a(6) =245a(7) =752a(8) =2413a(9) =7991a(10) =27104a(11) =93605a(12) =327886a(13) =1161735a(14) =4155323a(15) =14982399a(16) =54393829a(17) =198666117a(18) =729443563a(19) =2690890444a(20) =9968312790a(21) =37066929338a(22) =138304185107a(23) =517646986719