Augmentation of the triangular array A158405. See Comments.

Terms

a(0) =1a(1) =1a(2) =3a(3) =1a(4) =6a(5) =14a(6) =1a(7) =9a(8) =37a(9) =79a(10) =1a(11) =12a(12) =69a(13) =242a(14) =494a(15) =1a(16) =15a(17) =110a(18) =516a(19) =1658a(20) =3294a(21) =1a(22) =18a(23) =160a(24) =928a(25) =3870a(26) =11764a(27) =22952a(28) =1a(29) =21