Number of inversions in all Dyck prefixes of length n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =4a(5) =14a(6) =42a(7) =114a(8) =304a(9) =748a(10) =1870a(11) =4370a(12) =10488a(13) =23748a(14) =55412a(15) =122836a(16) =280768a(17) =613016a(18) =1379286a(19) =2977362a(20) =6616360a(21) =14156500a(22) =31144300a(23) =66168476a(24) =144367584a(25) =304960104a(26) =660746892a(27) =1389097684a(28) =2991902704a(29) =6264621608