a(n) = L(L(n)) mod L(n), where L = Lucas numbers = A000032.

Terms

a(0) =1a(1) =0a(2) =1a(3) =3a(4) =1a(5) =1a(6) =0a(7) =1a(8) =1a(9) =7a(10) =4a(11) =1a(12) =199a(13) =1a(14) =4a(15) =843a(16) =1a(17) =1a(18) =0a(19) =1a(20) =29a(21) =123a(22) =4a(23) =1a(24) =3a(25) =199a(26) =4a(27) =39603a(28) =29a(29) =1