A317763 - OEIS

%I #4 Aug 06 2018 11:51:31

%S 64,190,196,232,302,425,639,1012,1663,2801,4792,8278,14385,25088,

%T 43852,76756,134466,235697,413288,724863,1271539,2230756,3913889,

%U 6867349,12050002,21144516,37103735,65109496,114255232,200498730,351843854

%N Number of nX7 0..1 arrays with every element unequal to 0, 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A317764.

%H R. H. Hardin, <a href="/A317763/b317763.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -2*a(n-2) -a(n-4) +a(n-5) -a(n-6) +a(n-7) for n>11

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317764.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 06 2018