G.f.: Sum_{n>=0} x^n/Product_{k=1..n} (1 - Lucas(k)*x^k + (-1)^k*x^(2*k)).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =10a(5) =18a(6) =44a(7) =78a(8) =178a(9) =329a(10) =699a(11) =1299a(12) =2724a(13) =5013a(14) =10198a(15) =19076a(16) =37786a(17) =70448a(18) =138322a(19) =256649a(20) =497884a(21) =925309a(22) =1770195a(23) =3283971a(24) =6249417a(25) =11542969a(26) =21785791a(27) =40231877a(28) =75388314a(29) =138806128