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

%I #6 Apr 05 2020 23:02:06

%S 1,14,119,720,5637,38792,298003,2180148,16717575,125826436,966619242,

%T 7382318636,56924033734,438478307376,3394276530311,26291371821860,

%U 204232995801978,1588199807894658,12373790849896599,96512252060362420

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

%C Column 3 of A284771.

%H R. H. Hardin, <a href="/A284766/b284766.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284771.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 02 2017