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A302268 Number of 4 X n 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%I A302268 #7 Apr 05 2018 04:10:23
%S A302268 8,128,818,5922,40296,284428,1984001,13858979,96989344,677924227,
%T A302268 4741556252,33160693907,231908861764,1621957375639,11343626172102,
%U A302268 79335892155345,554866483249174,3880672405834657,27141030302203992
%N A302268 Number of 4 X n 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C A302268 Row 4 of A302265.
%H A302268 R. H. Hardin, <a href="/A302268/b302268.txt">Table of n, a(n) for n = 1..210</a>
%F A302268 Empirical: a(n) = 5*a(n-1) +37*a(n-2) -87*a(n-3) -705*a(n-4) +490*a(n-5) +6647*a(n-6) -2273*a(n-7) -37443*a(n-8) +18499*a(n-9) +137351*a(n-10) -119456*a(n-11) -307421*a(n-12) +497358*a(n-13) +283070*a(n-14) -1382386*a(n-15) +550943*a(n-16) +2688669*a(n-17) -2529947*a(n-18) -3862337*a(n-19) +4815881*a(n-20) +4396960*a(n-21) -5833953*a(n-22) -4259372*a(n-23) +4902946*a(n-24) +3609580*a(n-25) -2867379*a(n-26) -2613565*a(n-27) +1071860*a(n-28) +1546436*a(n-29) -178195*a(n-30) -696136*a(n-31) -34724*a(n-32) +210182*a(n-33) +28519*a(n-34) -40047*a(n-35) -7799*a(n-36) +6305*a(n-37) +1510*a(n-38) -1015*a(n-39) -211*a(n-40) +30*a(n-41) +22*a(n-42) +12*a(n-43) -4*a(n-44) for n>45.
%e A302268 Some solutions for n=5:
%e A302268   0 1 0 1 1     0 1 1 0 1     0 1 0 0 0     0 0 1 0 0
%e A302268   1 0 1 0 0     0 1 0 0 0     1 0 1 1 1     0 1 1 1 0
%e A302268   0 0 1 0 1     0 1 1 1 0     1 0 1 0 0     1 1 0 0 0
%e A302268   0 1 1 0 0     0 0 0 0 0     0 1 0 0 1     0 1 1 1 1
%Y A302268 Cf. A302265.
%K A302268 nonn
%O A302268 1,1
%A A302268 _R. H. Hardin_, Apr 04 2018