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The ***p*-adic Valuations of Sequences Counting Alternating Sign Matrices

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Xinyu Sun and Victor H. Moll

Department of Mathematics

Tulane University

New Orleans, LA 70118

USA

**Abstract:**

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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