Antidiagonal sums of A363365.

Terms

a(0) =1a(1) =4a(2) =13a(3) =43a(4) =152a(5) =575a(6) =2314a(7) =9870a(8) =44535a(9) =212242a(10) =1066327a(11) =5635369a(12) =31254046a(13) =181478525a(14) =1100796500a(15) =6960517564a(16) =45791562573a(17) =312867812160