Fang and Fourier defined the symplectic Dellac configurations in order to
parametrize the torus fixed points of the symplectic degenerated flag
varieties, and conjectured that their numbers are the elements of a sequence of
integers (1, 2, 10, 98, 1594, ...) which appears in the study by
Randrianarivony and Zeng of the median Euler numbers. In this paper, we prove
the conjecture by considering a combinatorial interpretation of these integers
in terms of the surjective pistols (which form a well-known combinatorial model
of the Genocchi numbers), and constructing an appropriate surjection from the
symplectic Dellac configurations to the surjective pistols.Comment: 40 pages, 16 figure
