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A301396 Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%I A301396 #4 Mar 20 2018 10:59:41
%S A301396 0,4,13,78,446,2619,15538,92338,549096,3267591,19445455,115733520,
%T A301396 688822904,4099797460,24401669153,145237096500,864442371855,
%U A301396 5145110443481,30623402361787,182268749291468,1084853268325407
%N A301396 Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C A301396 Column 4 of A301400.
%H A301396 R. H. Hardin, <a href="/A301396/b301396.txt">Table of n, a(n) for n = 1..210</a>
%F A301396 Empirical: a(n) = 7*a(n-1) -a(n-2) -34*a(n-3) +14*a(n-4) +34*a(n-5) -129*a(n-6) +186*a(n-7) -52*a(n-8) -1057*a(n-9) +1244*a(n-10) +2133*a(n-11) +561*a(n-12) +8661*a(n-13) +4793*a(n-14) -4904*a(n-15) +3451*a(n-16) -22982*a(n-17) -52529*a(n-18) -23037*a(n-19) -99878*a(n-20) -14585*a(n-21) -33823*a(n-22) -37658*a(n-23) +44514*a(n-24) -47595*a(n-25) +17462*a(n-26) +9809*a(n-27) -27359*a(n-28) +26878*a(n-29) -14305*a(n-30) +6310*a(n-31) -2584*a(n-32) +2798*a(n-33) -2854*a(n-34) +2226*a(n-35) -690*a(n-36) -164*a(n-37) +348*a(n-38) -188*a(n-39) -77*a(n-40) +167*a(n-41) -139*a(n-42) +73*a(n-43) -24*a(n-44) +4*a(n-45)
%e A301396 Some solutions for n=5
%e A301396 ..0..0..0..1. .0..0..0..1. .0..0..1..1. .0..0..1..1. .0..0..0..0
%e A301396 ..0..0..1..1. .0..0..1..1. .0..0..1..1. .0..1..0..1. .0..1..1..0
%e A301396 ..0..0..1..1. .0..1..0..1. .0..0..1..1. .1..0..0..1. .1..1..0..1
%e A301396 ..0..0..1..1. .1..0..0..1. .0..1..1..1. .1..1..1..1. .0..0..1..1
%e A301396 ..0..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1. .0..1..1..1
%Y A301396 Cf. A301400.
%K A301396 nonn
%O A301396 1,2
%A A301396 _R. H. Hardin_, Mar 20 2018