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%I #13 Jun 04 2018 04:29:34
%S 209,637,2005,6365,19957,62393,195261,612041,1918365,6011045,18832757,
%T 59007013,184888993,579320337,1815187133,5687517861,17820706801,
%U 55837720705,174956625753,548192325273,1717653145453,5381929652993
%N Number of (n+3) X 4 binary arrays with no more than one of any consecutive four bits set in any row or column.
%C Column 1 of A203048.
%H R. H. Hardin, <a href="/A203041/b203041.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) + 2*a(n-2) + a(n-3) + 10*a(n-4) + 7*a(n-5) - 4*a(n-7) - a(n-8).
%F Empirical g.f.: x*(209 + 219*x + 313*x^2 + 872*x^3 + 490*x^4 - 89*x^5 - 313*x^6 - 73*x^7) / (1 - 2*x - 2*x^2 - x^3 - 10*x^4 - 7*x^5 + 4*x^7 + x^8). - _Colin Barker_, Jun 03 2018
%e Some solutions for n=3:
%e 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0
%e 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0
%e 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0
%e 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1
%e 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0
%e 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0
%Y Cf. A203048.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 27 2011
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