Transform of the finite sequence (1, 0, -1, 0, 1, 0, -1) by the T_{0,1} transform (see link).

Terms

a(0) =2a(1) =3a(2) =6a(3) =16a(4) =39a(5) =89a(6) =207a(7) =480a(8) =1116a(9) =2595a(10) =6033a(11) =14025a(12) =32604a(13) =75795a(14) =176202a(15) =409620a(16) =952251a(17) =2213715a(18) =5146263a(19) =11963610a(20) =27812019a(21) =64655100a(22) =150304872a(23) =349416435a(24) =812294661a(25) =1888355985a(26) =4389895068a(27) =10205267895a(28) =23724369534a(29) =55152467880