Eigentriangle of A001263: T(n,k) = A001263(n+1,k+1)*A102812(k).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =2a(6) =1a(7) =6a(8) =12a(9) =6a(10) =1a(11) =10a(12) =40a(13) =60a(14) =25a(15) =1a(16) =15a(17) =100a(18) =300a(19) =375a(20) =136a(21) =1a(22) =21a(23) =210a(24) =1050a(25) =2625a(26) =2856a(27) =927a(28) =1a(29) =28