a(n) is the number of squares strictly between Fibonacci(n) and Fibonacci(n+1).

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =0a(6) =1a(7) =1a(8) =1a(9) =2a(10) =2a(11) =2a(12) =3a(13) =4a(14) =5a(15) =7a(16) =8a(17) =11a(18) =14a(19) =18a(20) =22a(21) =29a(22) =36a(23) =46a(24) =58a(25) =75a(26) =95a(27) =120a(28) =154a(29) =195