Journal of Integer Sequences, Vol. 12 (2009), Article 09.3.8

The p-adic Valuations of Sequences Counting Alternating Sign Matrices

Xinyu Sun and Victor H. Moll
Department of Mathematics
Tulane University
New Orleans, LA 70118


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.

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(Concerned with sequences A001045 A005130.)

Received January 28 2009; revised version received April 27 2009. Published in Journal of Integer Sequences, April 30 2009.

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