In the title compound, C24H20FN3O2, despite the 4H-pyran ring having a flattened half-chair conformation [the methine C atom lies 0.257 (3) Å above the plane of the remaining atoms with an r.m.s. deviation of 0.0295 Å], the 14 non-H atoms of the 4H-benzo[h]chromene residue are approximately coplanar (r.m.s. deviation = 0.081 Å). The benzene ring is nearly perpendicular to this plane [dihedral angle = 76.18 (10)°], but the planar (r.m.s. deviation = 0.033 Å) dimethyl-methanimidamide substituent is coplanar [dihedral angle = 1.96 (12)°]. In the crystal, centrosymmetric dimeric aggregates arise from C-H⋯N inter-actions, and these are connected into supra-molecular layers in the ab plane by C-H⋯π and π-π [inter-centroid (central C6 ring)⋯(outer C6 ring)(i) distance = 3.8564 (14) Å] inter-actions.