Geodesic
Hankel matrices and lattice paths
Journal of integer sequences, Tome 4 (2001) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let H be the Hankel matrix formed from a sequence of real numbers S = a_0 = 1, a_1, a_2, a_3, $\dots $, and let L denote the lower triangular matrix obtained from the Gaussian column reduction of H. This paper gives a matrix-theoretic proof that the associated Stieltjes matrix S_L is a tri-diagonal matrix. It is also shown that for any sequence (of nonzero real numbers) T = d_0 = 1, d_1, d_2, d_3, $\dots $ there are infinitely many sequences such that the determinant sequence of the Hankel matrix formed from those sequences is T. 
@article{JIS_2001__4_1_a4,
     author = {Woan, Wen-Jin},
     title = {Hankel matrices and lattice paths},
     journal = {Journal of integer sequences},
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     number = {1},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2001__4_1_a4/}
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Woan, Wen-Jin. Hankel matrices and lattice paths. Journal of integer sequences, Tome 4 (2001) no. 1. http://geodesic.mathdoc.fr/item/JIS_2001__4_1_a4/