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Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #7 Apr 19 2020 23:58:33

%S 1,8,228,23096,8170504,10189867088,44678859224720,689135333800118172,

%T 37384922495789864734248,7133341171604127356105213188,

%U 4787286947598320962893540775519384

%N Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Diagonal of A300804.

%H R. H. Hardin, <a href="/A300798/b300798.txt">Table of n, a(n) for n = 1..12</a>

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300804.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 13 2018