Row sums of a Pascal-Fibonacci triangle.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =17a(5) =38a(6) =87a(7) =200a(8) =458a(9) =1044a(10) =2373a(11) =5388a(12) =12233a(13) =27782a(14) =63112a(15) =143392a(16) =325805a(17) =740266a(18) =1681935a(19) =3821412a(20) =8682310a(21) =19726316a(22) =44818473a(23) =101828344a(24) =231355953a(25) =525645354a(26) =1194276812a(27) =2713420728a(28) =6164945513a(29) =14006877390