Eigentriangle, row sums = A144251 shifted, right border = A144251.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =2a(6) =1a(7) =5a(8) =12a(9) =6a(10) =1a(11) =7a(12) =30a(13) =60a(14) =24a(15) =1a(16) =9a(17) =56a(18) =210a(19) =360a(20) =122a(21) =1a(22) =11a(23) =90a(24) =504a(25) =1680a(26) =2562a(27) =758a(28) =1a(29) =13