We find all possible seesaw textures which can describe in a natural way the
currently observed neutrino oscillation pattern in terms of a minimum number of
parameters. Natural here means due only to the relative smallness (vanishing)
of some parameters in the relevant lagrangian, without special relations or
accidental cancellations among them. The corresponding predictions for the
mixing angle theta_13 and the effective mass m_ee are given.Comment: 6 pages, 1 figure; to appear in the proceedings of the XXXVIIIth
Rencontres de Moriond, "Electroweak Interactions and Unified Theories", Les
Arcs, France, 15-22 March 200