Geodesic
The \(p\)-adic valuations of sequences counting alternating sign matrices
Journal of integer sequences, Tome 12 (2009) no. 3
The $p$-adic valuations of a sequence of integers counting alternating sign symmetric matrices are examined for $p = 2$ and $p = 3$. Symmetry properties of their graphs produce a new proof of the result that characterizes the indices that yield an odd number of matrices.
Classification : 05A10, 11B75, 11Y55
Keywords: alternating sign matrices, jacobsthal numbers, valuations 
@article{JIS_2009__12_3_a3,
     author = {Sun,  Xinyu and Moll,  Victor H.},
     title = {The \(p\)-adic valuations of sequences counting alternating sign matrices},
     journal = {Journal of integer sequences},
     year = {2009},
     volume = {12},
     number = {3},
     zbl = {1232.11038},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a3/}
}
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Sun,  Xinyu; Moll,  Victor H. The \(p\)-adic valuations of sequences counting alternating sign matrices. Journal of integer sequences, Tome 12 (2009) no. 3. http://geodesic.mathdoc.fr/item/JIS_2009__12_3_a3/