Eigentriangle, row sums = A001850, the Delannoy numbers.

Terms

a(0) =1a(1) =2a(2) =1a(3) =8a(4) =2a(5) =3a(6) =36a(7) =8a(8) =6a(9) =13a(10) =172a(11) =36a(12) =24a(13) =26a(14) =63a(15) =852a(16) =172a(17) =108a(18) =104a(19) =126a(20) =321a(21) =4324a(22) =852a(23) =516a(24) =468a(25) =504a(26) =642a(27) =1683a(28) =22332a(29) =4324