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Following are the test cases

Java solution

package test;

public class Program20 {
	public static void main(String[] args) {
		// 3, 1, 3, 1, 3
		int a[] = {3,4,3,6,3,7};
		Program20.haveThree(a);
	}

	public static boolean haveThree(int[] nums) {
		for (int i = 1; i < nums.length-1; i++) {
			if (nums[i] == 3 && nums[i-1] != 3 && nums[i+1] != 3) {
				return true;
			}
		}
		return false;
	}
}