We show how the coeffcient of an augmented hook shapesin the expansion of a vertical strip LLT polynomials has a nice combiinatorial interpretation.  Our proof starts with the expansion of vertical strip LLT polynomials into elementary symmetric functions, whose coefficients are positive integral combinations of powers of q-1.  We then expand the powers of q-1, and also the products of elementary symmetric functions into Schur fiunctions, to get a signed expression for the Schur coefficeints. We then show (in the caser of augmentted hook shapes) how to cancel the negative terms with paired positive terms, leaving a positive expression.