Jacobsthal Numbers and Alternating Sign Matrices
Darrin D. Frey and James A. Sellers
Department of Science and Mathematics
Cedarville, OH 45314
Let A(n) denote the number of n×n alternating sign matrices and
Jm the mth Jacobsthal number. It is known that
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 infinitely often.
l = 0
Full version: pdf,
(Concerned with sequences
Received Jan. 13, 2000; published in Journal of Integer Sequences June 1, 2000.
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