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%I #4 Jun 10 2018 09:32:29
%S 8,112,684,4893,34001,240701,1696681,11974403,84503446,596293219,
%T 4208024084,29694819364,209550997377,1478756439349,10435280421932,
%U 73639617754827,519659536754799,3667130000780361,25878177960620905
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.
%C Column 4 of A305769.
%H R. H. Hardin, <a href="/A305765/b305765.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) +16*a(n-2) -52*a(n-3) -89*a(n-4) +228*a(n-5) -65*a(n-6) -256*a(n-7) +754*a(n-8) -428*a(n-9) -25*a(n-10) -255*a(n-11) -768*a(n-12) +2580*a(n-13) -3804*a(n-14) +1874*a(n-15) +1205*a(n-16) -1287*a(n-17) +2505*a(n-18) -4282*a(n-19) +2886*a(n-20) -5280*a(n-21) +4994*a(n-22) -3929*a(n-23) +4905*a(n-24) -2280*a(n-25) +513*a(n-26) -1013*a(n-27) +598*a(n-28) -103*a(n-29) -43*a(n-30) +119*a(n-31) -31*a(n-32) +4*a(n-33) -14*a(n-34) +8*a(n-35) for n>37
%e Some solutions for n=5
%e ..0..0..0..1. .0..1..1..1. .0..0..0..1. .0..1..1..1. .0..1..1..1
%e ..1..0..0..1. .0..0..1..1. .1..1..0..1. .1..1..0..0. .1..1..1..0
%e ..1..0..0..1. .1..0..0..0. .0..0..0..1. .1..1..1..1. .1..1..0..0
%e ..1..0..0..1. .1..1..0..0. .1..0..0..1. .1..1..1..0. .1..0..0..0
%e ..0..1..1..0. .1..1..0..0. .1..0..1..1. .0..0..0..0. .1..0..0..1
%Y Cf. A305769.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 10 2018
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