论文标题
Chebyshev多项式,滑动柱和$ K $ - 步骤fibonacci编号
Chebyshev Polynomials, Sliding Columns, and the $k$-step Fibonacci Numbers
论文作者
论文摘要
我们对以下有趣的事实进行了直接,直观的证明(通过向上和向下滑动一些列):如果我们在图表中写下Chebyshev多项式,并沿着某些对角线沿着系数的总和,我们将获得Fibonaccis,Tribonaccis,Tribonaccis,Tribonaccis,Tetranaccis等。
We give a direct and intuitive proof (via sliding some columns up and down) of the following interesting fact: if we write out the Chebyshev polynomials in a chart and take the sums of coefficients along certain diagonals, we obtain the Fibonaccis, the Tribonaccis, the Tetranaccis, and so on.