OFFSET
1,4
COMMENTS
Also the number of distinct self-dual bases for GF(2^n) over GF(2). - Max Alekseyev, Feb 11 2008
LINKS
Max Alekseyev, PARI scripts
Joerg Arndt, Matters Computational (The Fxtbook), see p. 910.
Dieter Jungnickel, Alfred J. Menezes and Scott A. Vanstone, On the Number of Self-Dual Bases of GF(q^m) Over GF(q), Proc. Amer. Math. Soc. 109 (1990), 23-29.
FORMULA
a(n) = A003053(n) / n!.
PROG
(PARI)
/* based on http://home.gwu.edu/~maxal/gpscripts/nsdb.gp by Max Alekseyev */
sd(m, q) =
/* Number of distinct self-dual bases of GF(q^m) over GF(q) where q is a power of prime */
{
if ( q%2 && !(m%2), return(0) );
return ( (q%2 + 1) * prod(i=1, m-1, q^i - (i+1)%2) / m! );
}
vector(66, n, sd(n, 2)) /* Joerg Arndt, Jul 03 2011 */
CROSSREFS
KEYWORD
nonn
AUTHOR
Yuval Dekel (dekelyuval(AT)hotmail.com), Nov 09 2003
EXTENSIONS
More terms from Max Alekseyev, Feb 11 2008
STATUS
approved