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A300467 Number of nX3 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 4,29,160,925,5363,31106,180397,1046223,6067629,35189573,204083997,

%T 1183597158,6864341406,39810152164,230881321531,1339009818730,

%U 7765666285883,45037438874738,261197278600938,1514828996788371

%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 3 of A300472.

%H R. H. Hardin, <a href="/A300467/b300467.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -a(n-2) -a(n-3) +a(n-4) -4*a(n-5) +a(n-6) -a(n-7)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300472.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 06 2018

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Last modified August 15 14:44 EDT 2022. Contains 356146 sequences. (Running on oeis4.)