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

Dresden, Greg

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.

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