The p-adic valuations of sequences counting alternating sign matrices

Abstract

The p-adic valuations of a sequence of integers T(n) counting alternating sign matrices is examined for p=2 and p=3. Symmetry properties of their graphs produce a new proof of the result that characterizes the indices for which T(n) is odd.

24 pages, 6 figures

Cited by in corpus (5)

• Periodicity in the $p$-adic valuation of a polynomial
• On the k-regularity of the k-adic valuation of Lucas sequences
• $p$-regularity of the $p$-adic valuation of the Fibonacci sequence
• A precise description of the p-adic valuation of the number of alternating sign matrices
• The 2-adic valuation of plane partitions and totally symmetric partitions