OFFSET
1,2
LINKS
Daniel Goldstein, Alfred W. Hales, and Richard A. Stong, Light matrices of prime determinant, Proc. Am. Math. Soc. 142 (2014) 805-819
FORMULA
It is shown in the paper cited above that lim a(p)/lg(p) = 5/2, where the limit is over primes p tending to infinity and where lg is the logarithm base 2.
EXAMPLE
a(17) = 10 from the 2-by-2 matrix (4 -1\\1 4). This matrix has determinant 17 and L^1-norm 10 = 4 + 1 + 1 + 4. No square integer matrix has determinant 17 and L^1-norm < 10.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Daniel Goldstein (dgoldste(AT)ccrwest.org), Apr 09 2009
STATUS
approved