Expansion of Product_{k>=1} 1/(1 - Lucas(k)*x^k), where Lucas = A000204.

Terms

a(0) =1a(1) =1a(2) =4a(3) =8a(4) =24a(5) =47a(6) =129a(7) =255a(8) =641a(9) =1308a(10) =3064a(11) =6225a(12) =14286a(13) =28792a(14) =63571a(15) =129240a(16) =278329a(17) =561044a(18) =1190501a(19) =2387695a(20) =4987250a(21) =9976529a(22) =20536591a(23) =40879937a(24) =83416195a(25) =165182927a(26) =333581057a(27) =658385847a(28) =1318764282a(29) =2590568669