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Using a multi-phase transport model (AMPT) that includes both initial partonic and hadronic interactions, we study neighboring bin multiplicity correlations as a function of pseudorapidity in Au+Au collisionsat $sqrt{s_{NN}} =7.7-62.4$ GeV.It is observed that for $sqrt{s_{NN} } < $19.6GeV Au+Au collisions, the short-range correlations of final particles have a trough at central pseudorapidity,while for $sqrt{s_{NN}} > $19.6GeV AuAu collisions, the short-range correlations of final particleshave a peak at central pseudorapidity.