Array described in comments to A053482, here read by increasing antidiagonals. See comments below.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =2a(9) =1a(10) =1a(11) =1a(12) =5a(13) =4a(14) =1a(15) =1a(16) =1a(17) =16a(18) =21a(19) =7a(20) =1a(21) =1a(22) =1a(23) =65a(24) =142a(25) =63a(26) =11a(27) =1a(28) =1a(29) =1