WASHINGTON, Oct 12 (Reuters) - U.S. producer prices increased more than expected in September amid strong gains in the costs of services and goods, suggesting inflation could remain uncomfortably high for a while. The producer price index for final demand rebounded 0.4% last month, the Labor Department said on Wednesday. Data for August was revised lower to show the PPI falling 0.2% instead of dipping 0.1% as previously reported. Excluding the volatile food, energy and trade services components, producer prices also rose 0.4% in September. In the 12 months through September, the core PPI rose 5.6% after a similar increase in August.

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