

A098744


Triangle read by rows: row n gives the number of orbits of the group GA(n) acting on binary vectors of length 2^n and weight k, for n >= 0, 0 <= k <= 2^n.


0



1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 4, 5, 8, 9, 15, 16, 23, 24, 30, 30, 38, 30, 30, 24, 23, 16, 15, 9, 8, 5, 4, 2, 2, 1, 1, 1, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,15


COMMENTS

GA(n) is the general affine group, the automorphism group of the ReedMuller code RM(r,n).
Since the group is triply transitive, there's only one orbit for vectors of weight 0,1,2,3.


LINKS

Table of n, a(n) for n=0..68.


EXAMPLE

Triangle begins:
1 1
1 1 1
1 1 1 1 1
1 1 1 1 2 1 1 1 1 (the 2 is because there are two orbits on vectors of length 8 and weight 4)
1 1 1 1 2 2 3 3 4 3 3 2 2 1 1 1 1


CROSSREFS

Cf. A000214 (row sums).  Vladeta Jovovic, Feb 22 2009
Sequence in context: A305080 A261794 A328929 * A337584 A273975 A025429
Adjacent sequences: A098741 A098742 A098743 * A098745 A098746 A098747


KEYWORD

nonn,tabf,more


AUTHOR

Alexander Vardy (avardy(AT)ucsd.edu), Nov 15 2008


EXTENSIONS

More terms from Vladeta Jovovic, Feb 22 2009


STATUS

approved



