Sum_{i=0..2n} (C(2n,i) mod 2)*Fibonacci(i+2) = Sum_{i=0..n} (C(n,i) mod 2)*Fibonacci(2i+2).

A048757

Sum_{i=0..2n} (C(2n,i) mod 2)*Fibonacci(i+2) = Sum_{i=0..n} (C(n,i) mod 2)*Fibonacci(2i+2).

Terms

    a(0) =1a(1) =4a(2) =9a(3) =33a(4) =56a(5) =203a(6) =441a(7) =1596a(8) =2585a(9) =9353a(10) =20304a(11) =73461a(12) =124033a(13) =448756a(14) =974169a(15) =3524577a(16) =5702888a(17) =20633243a(18) =44791065a(19) =162055596a(20) =273617239a(21) =989956471a(22) =2149017696a(23) =7775219067a(24) =12591974497a(25) =45558191716a(26) =98898651657

External references