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%I M3136 #14 Aug 16 2017 05:28:26
%S 1,1,3,33,13699,19738610121,601031719117714604698691
%N Nonantipodal balanced colorings of n-cube.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H E. M. Palmer, R. C. Read and R. W. Robinson, <a href="https://doi.org/10.1023/A:1022487918212">Balancing the n-cube: a census of colorings</a>, J. Algebraic Combin., 1 (1992), 257-273.
%F For n > 1, a(n) = Sum_{k=0..2^(n-2)} A(n,2*k) where A(n,2*k) = N(n,2*k) - Sum_{i=0..k-1} binomial(2^(n-1)-2*i, k-i) * A(n,2*i) with N(n,2*k) as defined in A006853 [From Palmer et al.]. - _Sean A. Irvine_, Aug 16 2017
%K nonn
%O 1,3
%A _N. J. A. Sloane_.
%E a(7) from _Sean A. Irvine_, Aug 16 2017
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