Numbers b_n of Fibonacci-quilt legal decompositions of n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =1a(5) =1a(6) =1a(7) =2a(8) =3a(9) =4a(10) =6a(11) =8a(12) =11a(13) =15a(14) =21a(15) =30a(16) =42a(17) =59a(18) =82a(19) =114a(20) =159a(21) =222a(22) =311a(23) =435a(24) =608a(25) =849a(26) =1185a(27) =1655a(28) =2312a(29) =3231