Eigentriangle, row sums = A084509.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =1a(5) =2a(6) =13a(7) =3a(8) =2a(9) =6a(10) =47a(11) =13a(12) =6a(13) =6a(14) =24a(15) =173a(16) =47a(17) =26a(18) =18a(19) =24a(20) =96a(21) =639a(22) =173a(23) =94a(24) =78a(25) =72a(26) =96a(27) =384a(28) =2357a(29) =639