It has been shown recently that the normalized median Genocchi numbers are equal to the Euler characteristics of the degenerate flag varieties. The q-analogues of the Genocchi numbers can be naturally defined as the Poincare polynomials of the degenerate flag varieties. We prove that the generating function of the Poincare polynomials can be written as a simple continued fraction. As an application we prove that the Poincare polynomials coincide with the q-version of the normalized median Genocchi numbers introduced by Han and Zeng.
This is continuation of our article . When F and G in  are constant sequences, we obtain continued fraction for zeta(3) parametrized by some family of points (F,G) on projective line. This family of points can be obtained if from full projective line would be removed some no more than countable nowhere dense exeptional set of finite points. A countable nowhere dense set, which contains the above exeptional set of finite points, is specified also.
The paper presents a brief review on interpretation of continued fractions as a chain of superposition operations relative to one unary and one binary or two binary logical functions. Such construction makes it possible to dene continued fractions with partial quotients from the values of many-valued logic.
We found a series of continued fractions for zeta(3), parametrized by some family of pairs of sequences F,G. Two members of this series are present here; they are different from Apery-Nesterenko continued fraction.