In 1976, H. Hosoya of Ochanomizu University, Tokyo, introduced an interesting triangular array H; see Figure 15.1 [332]. It is closely linked to Fibonacci numbers. We call it Hosoya's triangle. The array is symmetric about the vertical line through the middle, and the top two northeast and southeast diagonals consist of Fibonacci numbers. We can obtain every interior element by adding the two immediate neighbors along the northeast and northwest diagonals; for example, .
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denotes the element in row n and column j:
and 
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