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

%I #6 Apr 05 2020 23:33:08

%S 0,44,607,8554,121162,1756800,25760875,382162921,5717697619,

%T 86172849366,1306560879457,19912006342895,304785181627320,

%U 4682731916448540,72178508386597722,1115665066715856620,17287052005230219381

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

%C Column 4 of A289651.

%H R. H. Hardin, <a href="/A289647/b289647.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A289651.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 09 2017