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A299368 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Feb 08 2018 14:05:28

%S 1,18,130,876,6025,41528,285931,1968966,13558267,93362733,642898196,

%T 4427015757,30484557038,209917536834,1445498190622,9953742093052,

%U 68541754163759,471980489384723,3250071216793220,22380083820956744

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

%C Column 3 of A299373.

%H R. H. Hardin, <a href="/A299368/b299368.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A299373.

%K nonn

%O 1,2

%A _R. H. Hardin_, Feb 08 2018

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Last modified May 10 07:40 EDT 2024. Contains 372358 sequences. (Running on oeis4.)