Augmentation of the triangular array |A123191|. See Comments.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =2a(6) =1a(7) =7a(8) =17a(9) =7a(10) =1a(11) =10a(12) =41a(13) =82a(14) =32a(15) =1a(16) =13a(17) =74a(18) =238a(19) =434a(20) =166a(21) =1a(22) =16a(23) =116a(24) =502a(25) =1412a(26) =2446a(27) =926a(28) =1a(29) =19