Question: Consider a rooted binary tree with nodes are labelled as follows. The root node is labelled with the empty string. Then, any node that is

Consider a rooted binary tree with nodes are labelled as follows. The
root node is labelled with the empty string. Then, any node that is a
left child of a node with name \sigma receives the name \sigma L and any node
that is the right child of that node receives the name \sigma R.
Give a recurrence relation returning the number of Rs in all labels of
all nodes. For example, the following tree has 10 Rs.

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