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Quick and dirty 'dumb' solver (might require manual intervention sometimes):

		var manager = new GameManager(4, KeyboardInputManager, HTMLActuator);

		// Pattern definition (0: Up, 1: Right, 2: Down, 3: Left)
		var pattern = [1, 2, 3, 2];

		// Pattern Repeater
		var i = 0;

		// Interval
		var solverInterval = window.setInterval(function() {

			// Check if game is over
			if (manager.over)
				clearInterval(solverInterval);

			// Repeat pattern
			if (i % pattern.length == 0)
				i = 0;

			// Execute the move
			manager.move(pattern[i]);

			i++;

		}, 200);

Best pattern found so far is "var pattern = [1, 0, 3, 0];" I reached 1024 with it. https://dl.dropboxusercontent.com/u/21387598/1024-Best.png