Let's say I have 8 back to back convolutional layers with zero padding such that the input and output dimensions are the same. There are no max-pooling layers between the layers. All the layers use a 3x3 filter. I want to calculate how many pixels influence each of the output layers. How do I go about doing this?
I know that if there is only 1 layer, then each of pixel in the output is influenced by 9 pixels from the input. If there are 2 layers, then I'm guessing there would be 25 pixels influencing each pixel in the output. This is because if the second layer runs a 3x3 filter over layer 1, then those 9 pixels correspond to a 5x5 grid in the input layer. Am I properly calculating this?