Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-7).

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =8a(7) =13a(8) =20a(9) =32a(10) =50a(11) =79a(12) =124a(13) =195a(14) =306a(15) =481a(16) =755a(17) =1186a(18) =1862a(19) =2924a(20) =4591a(21) =7209a(22) =11319a(23) =17773a(24) =27906a(25) =43817a(26) =68799a(27) =108025a(28) =169615a(29) =266321