Square root of S000489.
14, 35, 90, 234, 611, 1598, 4182, 10947, 28658, 75026, 196419, 514230, 1346270, 3524579, 9227466, 24157818, 63245987, 165580142, 433494438, 1134903171, 2971215074, 7778742050, 20365011075, 53316291174, 139583862446, 365435296163, 956722026042, 2504730781962
1
These terms satisfy a third-order linear recursion: a(n) = 4*a(n-1) - 4*a(n-2) + a(n-3).
T. D. Noe, Plot of 200 terms
T. D. Noe, Table of 200 terms
Eric W. Weisstein, MathWorld: Fibonacci Number
Eric W. Weisstein, MathWorld: Linear Recurrence Equation
(Mma) nn = 45; f2 = Table[Fibonacci[n]^2, {n, nn}]; Sqrt[Table[f2[[2*n - 1]] + f2[[n + 1]] + f2[[n - 2]] + f2[[1]], {n, 4, Floor[nn/2]}]]
nonn
T. D. Noe, Feb 18 2015