Eigentriangle, row sums = A000984.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =1a(5) =2a(6) =9a(7) =3a(8) =2a(9) =6a(10) =29a(11) =9a(12) =6a(13) =6a(14) =20a(15) =97a(16) =29a(17) =18a(18) =18a(19) =20a(20) =70a(21) =333a(22) =97a(23) =58a(24) =54a(25) =60a(26) =70a(27) =252a(28) =1165a(29) =333