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A298289 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. 2

%I

%S 4,13,20,26,43,72,115,189,318,526,874,1473,2482,4185,7085,12032,20448,

%T 34806,59371,101370,173225,296379,507516,869590,1491114,2558507,

%U 4392128,7543859,12963607,22286228,38328852,65945748,113501565,195419152

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

%C Column 3 of A298294.

%H R. H. Hardin, <a href="/A298289/b298289.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) -a(n-2) +2*a(n-3) -11*a(n-4) +4*a(n-6) +16*a(n-7) +5*a(n-8) -5*a(n-9) -14*a(n-10) -7*a(n-11) -6*a(n-12) +3*a(n-14) +8*a(n-15) +6*a(n-16) +4*a(n-17) for n>19

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298294.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2018

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Last modified January 23 03:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)