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In this article we obtain a formula relating inflections, bitangencies and the Milnor number of a plane curve germ. Moreover, we present an extension of the formula obtained by the first author and Luis Fernando Mello for a class of plane curves with singularities.FAPESP (grant No. 2011/01946-0, 2010/01501-5 and 08/54222-6)DGCYT and FEDER (grant No. MTM2009-08933)CNPq (grant No. 303774/2008-8

A formula relating inflections, bitangencies and the Milnor number of a plane curve