a(n) = A014217(n+1) - A115360(n+2).

Terms

a(0) =2a(1) =4a(2) =6a(3) =10a(4) =18a(5) =28a(6) =46a(7) =76a(8) =122a(9) =198a(10) =322a(11) =520a(12) =842a(13) =1364a(14) =2206a(15) =3570a(16) =5778a(17) =9348a(18) =15126a(19) =24476a(20) =39602a(21) =64078a(22) =103682a(23) =167760a(24) =271442a(25) =439204a(26) =710646a(27) =1149850a(28) =1860498a(29) =3010348