The m-th Cullen number Cm is a number of the form m2^m + 1 and the m-th Woodall number Wm has the form m2^m - 1 In 2003, Luca and Stănică proved that the largest Fibonacci number in the Cullen sequence is F₄ = 3 and that F₁ = F₂ = 1 are the largest Fibonacci numbers in the Woodall sequence. Very recently, the second author proved that, for any given s > 1, the equation F_n = ms^m ± 1 has only finitely many solutions, and they are effectively computable. In this note, we shall provide the explicit form of the possible solutions.