Expansion of 1 / (1 + Sum_{k>=1}(-x)^Lucas(k)).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =2a(6) =3a(7) =4a(8) =5a(9) =7a(10) =10a(11) =14a(12) =19a(13) =26a(14) =36a(15) =48a(16) =64a(17) =87a(18) =116a(19) =155a(20) =210a(21) =283a(22) =382a(23) =518a(24) =701a(25) =948a(26) =1282a(27) =1732a(28) =2339a(29) =3158