a(n) = Sum_{k=0..floor(n/2)} A026637(n-k, k).

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =10a(6) =17a(7) =27a(8) =45a(9) =73a(10) =119a(11) =192a(12) =312a(13) =505a(14) =818a(15) =1323a(16) =2142a(17) =3466a(18) =5609a(19) =9075a(20) =14685a(21) =23761a(22) =38447a(23) =62208a(24) =100656a(25) =162865a(26) =263522a(27) =426387a(28) =689910a(29) =1116298