Non-Isomorph trees of a graph

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Please consider this graph

enter image description here

How many non-Isomorph trees with 4 vertex has this graph?

Is there any formula that show number of non-Isomorph trees with $n$ vertices?

thanks

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There are only two 4-node trees up to isomorphism: the straight line and the Y-shaped graph. The above graph contains both of them.

For the number of trees with $n$ vertices, Wikipedia links here : http://oeis.org/A000055 .