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Number of nX7 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Apr 09 2018 09:08:05

%S 21,23,118,235,689,1784,4558,12324,32336,84536,223968,588744,1548844,

%T 4083686,10742086,28288776,74511660,196104792,516398498,1359816012,

%U 3579887214,9426059034,24819072446,65345909914,172055547718,453015967754

%N Number of nX7 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A302515.

%H R. H. Hardin, <a href="/A302514/b302514.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +12*a(n-3) +11*a(n-5) -38*a(n-6) -5*a(n-7) -17*a(n-8) +27*a(n-9) -32*a(n-10) +12*a(n-11) +16*a(n-12) +24*a(n-13) +16*a(n-15) for n>21

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302515.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2018