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A098744
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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.
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0
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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; internal format)
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OFFSET
| 0,15
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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.
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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
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CROSSREFS
| Cf. A000214(row sums). [From Vladeta Jovovic (vladeta(AT)eunet.yu), Feb 22 2009]
Sequence in context: A134870 A031286 A031276 * A025429 A076250 A136713
Adjacent sequences: A098741 A098742 A098743 * A098745 A098746 A098747
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KEYWORD
| nonn,tabf,more
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AUTHOR
| Alexander Vardy (avardy(AT)ucsd.edu), Nov 15 2008
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.yu), Feb 22 2009
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