An inverse Catalan transform of J(2n).

Terms

a(0) =0a(1) =1a(2) =4a(3) =11a(4) =27a(5) =64a(6) =149a(7) =341a(8) =768a(9) =1707a(10) =3755a(11) =8192a(12) =17749a(13) =38229a(14) =81920a(15) =174763a(16) =371371a(17) =786432a(18) =1660245a(19) =3495253a(20) =7340032a(21) =15379115a(22) =32156331a(23) =67108864a(24) =139810133a(25) =290805077a(26) =603979776a(27) =1252698795a(28) =2594876075a(29) =5368709120