Moebius transform applied thrice to sequence 1,0,0,0,....

Terms

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