Sums over successive antidiagonals of A248059.

Terms

a(0) =0a(1) =0a(2) =1a(3) =14a(4) =89a(5) =416a(6) =1526a(7) =4740a(8) =12898a(9) =31680a(10) =71527a(11) =150722a(12) =299571a(13) =566592a(14) =1026524a(15) =1791528a(16) =3025188a(17) =4961280a(18) =7926621a(19) =12370710a(20) =18901069a(21) =28327904a(22) =41716466a(23) =60451820a(24) =86313734a(25) =121567680a(26) =169068835a(27) =232386570a(28) =315945319a(29) =425191040