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Number of n X 7 0..1 arrays with every element equal to 0, 1, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
1

%I #6 Mar 09 2023 15:31:37

%S 21,185,233,687,7425,34801,164295,1053249,5803057,30459340,175958088,

%T 988572609,5409436965,30475463803,171059829077,949886716408,

%U 5320086247758,29806428448927,166317770692219,930326534497792

%N Number of n X 7 0..1 arrays with every element equal to 0, 1, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 7 of A303197.

%H R. H. Hardin, <a href="/A303196/b303196.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A303197.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 19 2018