cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A098744 #14 Dec 18 2019 02:03:23
%S A098744 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,
%T A098744 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,
%U A098744 4,2,2,1,1,1,1
%N 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.
%C A098744 GA(n) is the general affine group, the automorphism group of the Reed-Muller code RM(r,n).
%C A098744 Since the group is triply transitive, there's only one orbit for vectors of weight 0,1,2,3.
%e A098744 Triangle begins:
%e A098744 1 1
%e A098744 1 1 1
%e A098744 1 1 1 1 1
%e A098744 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)
%e A098744 1 1 1 1 2 2 3 3 4 3 3 2 2 1 1 1 1
%Y A098744 Cf. A000214 (row sums). - _Vladeta Jovovic_, Feb 22 2009
%K A098744 nonn,tabf,more
%O A098744 0,15
%A A098744 Alexander Vardy (avardy(AT)ucsd.edu), Nov 15 2008
%E A098744 More terms from _Vladeta Jovovic_, Feb 22 2009