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Number of 4 X n 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.
1

%I #6 Apr 06 2020 00:07:17

%S 0,30,554,8088,114318,1676740,24773296,370085158,5573917456,

%T 84505086146,1288142241806,19723300256104,303110117057606,

%U 4672886017374940,72233860901133456,1119204087096130496,17376470515536487116

%N Number of 4 X n 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

%C Row 4 of A293100.

%H R. H. Hardin, <a href="/A293103/b293103.txt">Table of n, a(n) for n = 1..134</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A293100.

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 30 2017