Geodesic
The $p$-adic valuation of the ASM numbers
Journal of integer sequences, Tome 14 (2011) no. 8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 05A10, 11B75, 11Y55
Keywords: alternating sign matrices, valuations, recurrences, digit count 
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     title = {The $p$-adic valuation of the {ASM} numbers},
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Beyerstedt, Erin; Moll, Victor H.; Sun, Xinyu. The $p$-adic valuation of the ASM numbers. Journal of integer sequences, Tome 14 (2011) no. 8. http://geodesic.mathdoc.fr/item/JIS_2011__14_8_a2/