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A300337 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Mar 03 2018 08:15:19

%S 1,13,47,255,1272,6780,36498,198531,1088200,5984027,32988462,

%T 182088665,1005876277,5559093240,30731030239,169909426328,

%U 939499539384,5195152803248,28728519606270,158867780965085,878542696196419

%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A300342.

%H R. H. Hardin, <a href="/A300337/b300337.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +6*a(n-2) -40*a(n-3) -59*a(n-4) +79*a(n-5) +97*a(n-6) -40*a(n-7) +20*a(n-8) +8*a(n-9) -44*a(n-10) -6*a(n-11) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300342.

%K nonn

%O 1,2

%A _R. H. Hardin_, Mar 03 2018

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Last modified April 19 23:15 EDT 2024. Contains 371798 sequences. (Running on oeis4.)