Convolution of number of overpartitions and Catalan numbers.

Terms

a(0) =1a(1) =3a(2) =8a(3) =21a(4) =54a(5) =144a(6) =404a(7) =1195a(8) =3712a(9) =12000a(10) =39994a(11) =136400a(12) =473430a(13) =1665868a(14) =5926476a(15) =21275805a(16) =76964808a(17) =280250088a(18) =1026309908a(19) =3777411342a(20) =13965286180a(21) =51837285776a(22) =193107846304a(23) =721732334136