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arXiv math/0011081math.COmath.RA
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The eigenvectors of the right-justified Pascal triangle

David Callan

英文摘要:

We find the eigenvalues and eigenvectors of the n by n matrix with (i,j) entry \binom(i-1,n-j), establishing a conjecture of Peele and Stanica. Curiously, the eigenvectors can be chosen to form a matrix which is its own inverse.

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