Number of compositions (ordered partitions) of n into Lucas numbers (beginning with 1) (A000204).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =6a(6) =9a(7) =16a(8) =27a(9) =43a(10) =70a(11) =118a(12) =195a(13) =318a(14) =524a(15) =868a(16) =1430a(17) =2351a(18) =3878a(19) =6399a(20) =10542a(21) =17367a(22) =28634a(23) =47206a(24) =77793a(25) =128212a(26) =211346a(27) =348360a(28) =574153a(29) =946342