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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 groum of the Reed-Muller 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). [From Vladeta Jovovic, Feb 22 2009]

Sequence in context: A031276 A305080 A261794 * A273975 A025429 A325561

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

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Last modified October 18 03:25 EDT 2019. Contains 328135 sequences. (Running on oeis4.)