The p-adic Valuation of the ASM Numbers
Erin Beyerstedt and Victor H. Moll
Department of Mathematics
Tulane University
New Orleans, LA 70118
USA
Xinyu Sun
Department of Mathematics
Xavier University of Louisiana
New Orleans, LA 70125
USA
Abstract:
A classical formula of Legendre gives the p-adic valuation for factorials
as a finite sum of values of the floor function. This expression can be
used to produce a formula for the p-adic valuation of n as a finite
sum of periodic functions. An analogous result is established for the
p-adic valuation of the ASM
numbers. This sequence counts the number of
alternating sign matrices.
Full version: pdf,
dvi,
ps,
latex
(Concerned with sequence
A005130.)
Received February 3 2011;
revised version received July 18 2011; September 8 2011.
Published in Journal of Integer Sequences, October 16 2011.
Return to
Journal of Integer Sequences home page
