Table T(n,k) = Sum_{i=0..2n} (C(2n,i) mod 2)*F(i+k) = Sum_{i=0..n} (C(n,i) mod 2)*F(2i+k).

Terms

a(0) =0a(1) =1a(2) =1a(3) =3a(4) =3a(5) =1a(6) =12a(7) =6a(8) =4a(9) =2a(10) =21a(11) =21a(12) =9a(13) =7a(14) =3a(15) =77a(16) =35a(17) =33a(18) =15a(19) =11a(20) =5a(21) =168a(22) =126a(23) =56a(24) =54a(25) =24a(26) =18a(27) =8a(28) =609a(29) =273