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Number of nX7 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Apr 02 2018 14:48:40

%S 21,185,56,206,603,1247,2853,6870,15489,35924,84962,195967,453837,

%T 1061993,2464882,5719363,13329296,30988342,71989905,167525699,

%U 389592291,905597726,2106327411,4898465680,11389209332,26486000403,61593726193

%N Number of nX7 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A302163.

%H R. H. Hardin, <a href="/A302162/b302162.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +a(n-2) +11*a(n-3) -7*a(n-4) -7*a(n-5) -41*a(n-6) +26*a(n-7) +17*a(n-8) +74*a(n-9) -59*a(n-10) -19*a(n-11) -73*a(n-12) +82*a(n-13) +11*a(n-14) +44*a(n-15) -69*a(n-16) -5*a(n-17) -23*a(n-18) +34*a(n-19) +3*a(n-20) +14*a(n-21) -9*a(n-22) -a(n-23) -6*a(n-24) +a(n-25) +a(n-27) for n>39

%e Some solutions for n=5

%e ..0..0..1..1..0..1..0. .0..1..0..1..1..0..0. .0..1..1..0..0..1..0

%e ..0..1..0..1..0..1..1. .0..1..0..1..0..1..0. .0..1..0..1..0..1..0

%e ..0..1..0..1..0..1..0. .0..1..0..1..0..1..0. .0..1..0..1..0..1..0

%e ..0..1..0..1..0..1..0. .0..1..0..1..0..1..0. .0..1..0..1..0..1..1

%e ..0..1..0..0..1..1..0. .0..1..0..0..1..1..0. .1..0..0..1..0..1..0

%Y Cf. A302163.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 02 2018