Eigentriangle by rows, termwise products of A078812 and its eigensequence, A125274.

Terms

a(0) =1a(1) =2a(2) =1a(3) =3a(4) =4a(5) =3a(6) =4a(7) =10a(8) =18a(9) =10a(10) =5a(11) =20a(12) =63a(13) =80a(14) =42a(15) =6a(16) =35a(17) =168a(18) =360a(19) =420a(20) =210a(21) =7a(22) =56a(23) =378a(24) =1200a(25) =2310a(26) =2520a(27) =1199a(28) =8a(29) =84