Multiple hidden layers in neural network diagram

I am trying to visualize a neural network with multiple hidden layers. I found an example of how to create a diagram using TikZ that has one layer: This is done by using the following code:

\documentclass{article}

\usepackage{tikz}
\begin{document}
\pagestyle{empty}

\def\layersep{2.5cm}

\begin{tikzpicture}[shorten >=1pt,->,draw=black!50, node distance=\layersep]
\tikzstyle{every pin edge}=[<-,shorten <=1pt]
\tikzstyle{neuron}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
\tikzstyle{input neuron}=[neuron, fill=green!50];
\tikzstyle{output neuron}=[neuron, fill=red!50];
\tikzstyle{hidden neuron}=[neuron, fill=blue!50];
\tikzstyle{annot} = [text width=4em, text centered]

% Draw the input layer nodes
\foreach \name / \y in {1,...,4}
% This is the same as writing \foreach \name / \y in {1/1,2/2,3/3,4/4}
\node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {};

% Draw the hidden layer nodes
\foreach \name / \y in {1,...,5}
\path[yshift=0.5cm]
node[hidden neuron] (H-\name) at (\layersep,-\y cm) {};

% Draw the output layer node
\node[output neuron,pin={[pin edge={->}]right:Output}, right of=H-3] (O) {};

% Connect every node in the input layer with every node in the
% hidden layer.
\foreach \source in {1,...,4}
\foreach \dest in {1,...,5}
\path (I-\source) edge (H-\dest);

% Connect every node in the hidden layer with the output layer
\foreach \source in {1,...,5}
\path (H-\source) edge (O);

% Annotate the layers
\node[annot,above of=H-1, node distance=1cm] (hl) {Hidden layer};
\node[annot,left of=hl] {Input layer};
\node[annot,right of=hl] {Output layer};
\end{tikzpicture}
% End of code
\end{document}

Now I am trying to create a similar diagram to represent two or more layers but I can't figure out how to change the latex code to do so.

Is it possible with this specific example to keep the same style (colors, and network being layed out from left to right instead of from bottom to top)?

Here is a modification of that code where you set the number of hidden layers in a macro, and the rest is done automatically.

\documentclass{article}

\usepackage{tikz}
\begin{document}
\pagestyle{empty}

\def\layersep{1.5cm}

\begin{tikzpicture}[
shorten >=1pt,->,
draw=black!50,
node distance=\layersep,
every pin edge/.style={<-,shorten <=1pt},
neuron/.style={circle,fill=black!25,minimum size=17pt,inner sep=0pt},
input neuron/.style={neuron, fill=green!50},
output neuron/.style={neuron, fill=red!50},
hidden neuron/.style={neuron, fill=blue!50},
annot/.style={text width=4em, text centered}
]

% Draw the input layer nodes
\foreach \name / \y in {1,...,4}
% This is the same as writing \foreach \name / \y in {1/1,2/2,3/3,4/4}
\node[input neuron, pin=left:Input \#\y] (I-\name) at (0,-\y) {};

% set number of hidden layers
\newcommand\Nhidden{3}

% Draw the hidden layer nodes
\foreach \N in {1,...,\Nhidden} {
\foreach \y in {1,...,5} {
\path[yshift=0.5cm]
node[hidden neuron] (H\N-\y) at (\N*\layersep,-\y cm) {};
}
\node[annot,above of=H\N-1, node distance=1cm] (hl\N) {Hidden layer \N};
}

% Draw the output layer node
\node[output neuron,pin={[pin edge={->}]right:Output}, right of=H\Nhidden-3] (O) {};

% Connect every node in the input layer with every node in the
% hidden layer.
\foreach \source in {1,...,4}
\foreach \dest in {1,...,5}
\path (I-\source) edge (H1-\dest);

% connect all hidden stuff
\foreach [remember=\N as \lastN (initially 1)] \N in {2,...,\Nhidden}
\foreach \source in {1,...,5}
\foreach \dest in {1,...,5}
\path (H\lastN-\source) edge (H\N-\dest);

% Connect every node in the hidden layer with the output layer
\foreach \source in {1,...,5}
\path (H\Nhidden-\source) edge (O);

% Annotate the layers

\node[annot,left of=hl1] {Input layer};
\node[annot,right of=hl\Nhidden] {Output layer};
\end{tikzpicture}
% End of code
\end{document}

With \newcommand\Nhidden{3}: With \newcommand\Nhidden{6}: 