%I #8 Mar 31 2012 12:36:13
%S 12,144,847,4914,24711,123984,602049,2925040,14100232,67998376,
%T 327293736,1575603289,7581398753,36481691170,175528982839,
%U 844558652717,4063476682348,19550948024323,94066412339581,452586859846149
%N Number of nX4 binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally
%C Column 4 of A188607
%H R. H. Hardin, <a href="/A188602/b188602.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 7*a(n-1)+a(n-2) - 75*a(n-3) + 37*a(n-4) + 308*a(n-5) + 47*a(n-6) - 950*a(n-7) - 805*a(n-8) + 2038*a(n-9) + 2140*a(n-10) - 1974*a(n-11) - 2885*a(n-12) - 655*a(n-13) + 2291*a(n-14) + 3147*a(n-15) - 853*a(n-16) - 2458*a(n-17) - 195*a(n-18) + 403*a(n-19) + 268*a(n-20) + 293*a(n-21) + 4*a(n-22) - 9*a(n-23) - 71*a(n-24) - 113*a(n-25) + 24*a(n-26) + 42*a(n-27) - 2*a(n-28) - 4*a(n-29)
%e Some solutions for 3X4
%e ..1..1..1..1....1..0..1..0....1..0..1..0....0..0..1..0....1..0..0..0
%e ..0..0..0..1....0..1..1..1....0..0..1..0....0..1..0..0....1..0..1..1
%e ..0..0..0..1....1..0..1..0....1..0..1..0....1..0..0..1....1..0..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 05 2011
|