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%I #4 Mar 17 2018 07:20:00
%S 2,37,459,5362,63565,753471,8926774,105763972,1253091915,14846642172,
%T 175903151550,2084102123563,24692460772840,292556498411436,
%U 3466212038154745,41067711567915135,486570617974927297
%N Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 4 of A300973.
%H R. H. Hardin, <a href="/A300969/b300969.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-1) -52*a(n-2) +28*a(n-3) +56*a(n-4) +123*a(n-5) -596*a(n-6) +202*a(n-7) +1114*a(n-8) +244*a(n-9) -3131*a(n-10) -352*a(n-11) +4162*a(n-12) +2026*a(n-13) -4839*a(n-14) -3744*a(n-15) +7609*a(n-16) +18297*a(n-17) -1782*a(n-18) -28845*a(n-19) -7069*a(n-20) +33095*a(n-21) +2775*a(n-22) -27095*a(n-23) -2505*a(n-24) +18334*a(n-25) +1817*a(n-26) -8564*a(n-27) -484*a(n-28) +3474*a(n-29) -1170*a(n-30) -1450*a(n-31) +1068*a(n-32) +757*a(n-33) -464*a(n-34) -280*a(n-35) +95*a(n-36) +80*a(n-37) -13*a(n-38) -12*a(n-39) +a(n-41) for n>42
%e Some solutions for n=5
%e ..0..1..1..1. .0..1..1..1. .0..1..0..0. .0..0..0..0. .0..0..1..1
%e ..0..0..1..1. .0..1..0..0. .0..1..0..1. .1..1..0..1. .0..1..0..1
%e ..0..0..1..1. .1..1..1..0. .0..1..1..0. .0..1..0..1. .0..0..1..0
%e ..0..1..0..0. .1..0..1..1. .0..0..0..0. .0..0..1..1. .1..0..1..0
%e ..0..1..0..0. .1..0..1..1. .1..1..1..1. .1..1..0..0. .1..0..1..1
%Y Cf. A300973.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 17 2018
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