Definition:Fibonomial Triangle

Definition
The Fibonomial triangle is an array formed by the Fibonomial coefficients:


 * $\begin{array}{r|rrrrrrrrrr}

n & \binom n 0_\mathcal F & \binom n 1_\mathcal F & \binom n 2_\mathcal F & \binom n 3_\mathcal F & \binom n 4_\mathcal F & \binom n 5_\mathcal F & \binom n 6_\mathcal F \\ \hline 0 & 1 &  0 &  0 &   0 &   0 &   0 &   0 & \\ 1  & 1 &  1 &  0 &   0 &   0 &   0 &   0 & \\ 2  & 1 &  1 &  1 &   0 &   0 &   0 &   0 & \\ 3  & 1 &  2 &  2 &   1 &   0 &   0 &   0 & \\ 4  & 1 &  3 &  6 &   3 &   1 &   0 &   0 & \\ 5  & 1 &  5 & 15 &  15 &   5 &   1 &   0 & \\ 6  & 1 &  8 & 40 &  60 &  40 &   8 &   1 & \\ \end{array}$