A device for wedging an adjustable removable seat vertically in a C-shaped slideway, the seat being secured to an underframe having a subassembly able to run in the C-shaped slideway, the subassembly including a catch collaborating with a return of the slideway, and a retaining hook able to collaborate with the return of the slideway when the seat is subjected to an impact energy, the device including a vertical journal mounted to rotate in a bearing of the underframe, a member for wedging in terms of vertical translation, connected in terms of rotation to a lower end of the journal and having, when viewed from above, a generally rectangular overall shape a shortest dimension of the rectangular shape being less than a width of a groove of the C-shaped slideway and a longest dimension of the rectangular shape being greater than the width of the groove, so as to be able, in a wedged position, to sit under the internal returns of the slideway, a spring constantly returning the wedging member to the wedged position, a pivoting means for pivoting the journal against action of a return spring of the journal into a position in which the wedging member can be engaged in the groove of the slideway, and a helical ramp, rotatable with the journal to collaborate with a fixed complementary bearing surface to move the wedging member vertically into contact with the return of the slideway.