Yes, you need to count 2014 if you entered the US in 2014 on an F1 visa. You can only be on an F-1 visa for 5 years OR part years. So even if you arrived on December 31, 2014, you would need to count 2014 as the first year of your F-1 visa.
Please see the following information from the IRS: Alien Residency Examples
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