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A298275 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero. 1

%I #4 Jan 16 2018 08:04:34

%S 1,18,129,873,6013,41437,285280,1964290,13524686,93121972,641174645,

%T 4414695072,30396602133,209290433195,1441032289599,9921973168730,

%U 68315992804433,470377695431660,3238702495162085,22299513676118700

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

%C Column 3 of A298280.

%H R. H. Hardin, <a href="/A298275/b298275.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +8*a(n-2) -12*a(n-3) -8*a(n-4) +2*a(n-5) +3*a(n-6) -2*a(n-7) -7*a(n-9) +2*a(n-10) for n>11

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A298280.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 16 2018

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)