Antidiagonal sums of A344639.

Terms

a(0) =1a(1) =2a(2) =5a(3) =16a(4) =63a(5) =297a(6) =1649a(7) =10641a(8) =78823a(9) =662315a(10) =6241889a(11) =65294039a(12) =751035233a(13) =9420926879a(14) =127958645921