Let A(n) denote the number of n n alternating sign matrices and J m the m th Jacobsthal number. It is known that A(n) = n Π=0 (3l+1)!/(n+l)! The values of A(n) are in general highly composite. The goal of this paper is to prove that A(n) is odd if and only if n is a Jacobsthal number, thus showing that A(n) is odd in nitely often.
|Original language||English (US)|
|Journal||Journal of Integer Sequences|
|State||Published - Dec 1 2000|
- Alternating sign matrices
- Jacobsthal numbers