Inverse Moebius transform of Lucas numbers (A000032) 1,3,4,7,11,..

Terms

a(0) =1a(1) =4a(2) =5a(3) =11a(4) =12a(5) =26a(6) =30a(7) =58a(8) =81a(9) =138a(10) =200a(11) =355a(12) =522a(13) =876a(14) =1380a(15) =2265a(16) =3572a(17) =5880a(18) =9350a(19) =15272a(20) =24510a(21) =39806a(22) =64080a(23) =104084a(24) =167773a(25) =271968a(26) =439285a(27) =711530a(28) =1149852a(29) =1862022