Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-5).

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =7a(7) =11a(8) =16a(9) =24a(10) =35a(11) =52a(12) =76a(13) =112a(14) =164a(15) =241a(16) =353a(17) =518a(18) =759a(19) =1113a(20) =1631a(21) =2391a(22) =3504a(23) =5136a(24) =7527a(25) =11032a(26) =16168a(27) =23696a(28) =34728a(29) =50897