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Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 or 3 neighboring 1s.
1

%I #8 Jun 23 2020 12:32:28

%S 6,63,387,2969,21769,159732,1181174,8690359,64100854,472391582,

%T 3481701205,25663390294,189149912070,1394165032202,10275815563148,

%U 75739024915619,558242966775489,4114589197600076,30327032266275765

%N Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 or 3 neighboring 1s.

%C Column 5 of A296396.

%H R. H. Hardin, <a href="/A296393/b296393.txt">Table of n, a(n) for n = 1..210</a>

%H Robert Israel, <a href="/A296393/a296393.txt">Linear recurrence of order 125</a>

%H Robert Israel, <a href="/A296393/a296393.pdf">Maple-assisted derivation of recurrence</a>

%F Linear recurrence of order 125: see links. - _Robert Israel_, Jun 23 2020

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296396.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 11 2017