Smallest losing position after your opponent has taken k stones in a variation of "Fibonacci Nim".

Terms

a(0) =4a(1) =8a(2) =11a(3) =15a(4) =21a(5) =29a(6) =40a(7) =55a(8) =76a(9) =105a(10) =145a(11) =200a(12) =276a(13) =381a(14) =526a(15) =726a(16) =1002a(17) =1383a(18) =1909a(19) =2635a(20) =3637a(21) =5020a(22) =6929a(23) =9564a(24) =13201a(25) =18221a(26) =25150a(27) =34714a(28) =47915a(29) =66136