Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-9).

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =8a(7) =13a(8) =21a(9) =34a(10) =54a(11) =87a(12) =139a(13) =223a(14) =357a(15) =572a(16) =916a(17) =1467a(18) =2349a(19) =3762a(20) =6024a(21) =9647a(22) =15448a(23) =24738a(24) =39614a(25) =63436a(26) =101583a(27) =162670a(28) =260491a(29) =417137