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%I #9 Mar 19 2018 13:21:51
%S 42,62,92,136,200,292,422,612,900,1328,1952,2856,4170,6094,8926,13100,
%T 19226,28172,41228,60344,88390,129546,189892,278260,407570,596900,
%U 874350,1281060,1877110,2750284,4029108,5902172,8646250,12667042,18558468
%N Number of length n+5 0..1 arrays with no three disjoint pairs in any consecutive six terms having the same sum.
%C Column 1 of A248448.
%H R. H. Hardin, <a href="/A248441/b248441.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-3) + a(n-4) + a(n-5) + 3*a(n-6) + 2*a(n-7) + a(n-8) - 2*a(n-9) - 3*a(n-10) - 2*a(n-11) - a(n-12) - a(n-13) + a(n-15) + a(n-16).
%F Empirical g.f.: 2*x*(21 + 31*x + 46*x^2 + 47*x^3 + 48*x^4 + 48*x^5 + 3*x^6 - 43*x^7 - 85*x^8 - 78*x^9 - 44*x^10 - 18*x^11 - 3*x^12 + 19*x^13 + 27*x^14 + 16*x^15) / (1 - x^3 - x^4 - x^5 - 3*x^6 - 2*x^7 - x^8 + 2*x^9 + 3*x^10 + 2*x^11 + x^12 + x^13 - x^15 - x^16). - _Colin Barker_, Mar 19 2018
%e Some solutions for n=6:
%e ..0....1....1....1....1....0....1....0....0....0....0....1....0....0....1....1
%e ..0....0....0....1....0....1....0....1....1....1....0....1....1....1....1....0
%e ..0....1....1....1....0....0....1....0....0....1....1....0....1....1....1....0
%e ..0....0....0....0....1....0....1....0....0....0....0....1....1....0....1....0
%e ..0....1....0....1....0....0....0....0....0....1....0....1....1....0....0....0
%e ..1....1....0....1....0....0....1....0....1....1....0....1....0....0....1....1
%e ..0....1....1....0....0....1....1....1....0....0....0....1....1....0....1....1
%e ..0....1....0....1....1....0....1....1....1....1....0....0....0....0....1....0
%e ..0....0....0....1....0....0....0....0....0....1....1....0....1....1....1....0
%e ..1....0....1....1....0....0....1....0....0....0....1....1....1....0....1....0
%e ..0....1....0....0....1....1....0....0....0....1....0....1....1....1....0....0
%Y Cf. A248448.
%K nonn
%O 1,1
%A _R. H. Hardin_, Oct 06 2014
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