Triangle by rows, A033452 convolved with A000079.

Terms

a(0) =1a(1) =2a(2) =5a(3) =4a(4) =10a(5) =22a(6) =8a(7) =20a(8) =44a(9) =99a(10) =16a(11) =40a(12) =88a(13) =198a(14) =471a(15) =32a(16) =80a(17) =176a(18) =396a(19) =942a(20) =2386a(21) =64a(22) =160a(23) =352a(24) =792a(25) =1884a(26) =4772a(27) =12867a(28) =128a(29) =324