Numbers c_n of Fibonacci-quilt legal decompositions of n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =3a(6) =4a(7) =6a(8) =9a(9) =12a(10) =17a(11) =23a(12) =32a(13) =45a(14) =63a(15) =89a(16) =124a(17) =173a(18) =241a(19) =336a(20) =470a(21) =657a(22) =919a(23) =1284a(24) =1793a(25) =2504a(26) =3497a(27) =4886a(28) =6827a(29) =9539