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The (n + 1)×(n + 1) tridiagonal matrix (also called the Clement matrix) defined by S_n = [0 | n | 0 | 0 | ... | 0 1 | 0 | n - 1 | 0 | ... | 0 0 | 2 | 0 | n - 2 | ... | 0 ⋮ | ⋮ | ⋱ | ⋱ | ⋱ | ⋮ 0 | 0 | 0 | n - 1 | 0 | 1 0 | 0 | 0 | 0 | n | 0]. The eigenvalues are 2k - n for k = 0, 1, ..., n.
