Let \(G_n\) be an undirected graph of \(n\) rows with the particular triangular structure.

In the figure above is described \(G_3\).

Let \(t_n\) be the minimum number of edges to remove to \(G_n\) to make it bipartite.

What is \(t_{10^9+8} \bmod {(10^9+7)} ?\)

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