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Number of n X 3 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.
1

%I #6 Apr 05 2020 23:10:26

%S 1,14,113,786,5742,42176,314197,2359900,17852820,135811506,1037931930,

%T 7962744490,61286318733,473008466100,3659466705689,28371299519552,

%U 220366440810204,1714457590259554,13358188660727160,104218249427651818

%N Number of n X 3 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

%C Column 3 of A285152.

%H R. H. Hardin, <a href="/A285147/b285147.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A285152.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 12 2017