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- W2023130146 abstract "In this note a combinatorial correspondence is used to prove that the number of positive definite, tridiagonal, integral matrices of determinant 1 whose sub and super diagonals consist solely of ones is C,7 - (2't)/( n + 1). The correspon- dence is then further used to count such matrices by trace and also by number of ones on the main diagonal. Other related correspondences and results are given including those for determinant equal to 2,3,4 and 5." @default.
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- W2023130146 date "1984-03-01" @default.
- W2023130146 modified "2023-09-23" @default.
- W2023130146 title "Positive definite matrices and Catalan numbers, revisited" @default.
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- W2023130146 doi "https://doi.org/10.1090/s0002-9939-1984-0728375-5" @default.
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