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A317233 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 24 2018 10:36:52

%S 4,12,28,60,211,597,1619,4792,13802,39400,113525,326899,940153,

%T 2704316,7781698,22393110,64428105,185379093,533427975,1534875554,

%U 4416403250,12707841186,36565665643,105214062105,302743695225,871117391912

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

%C Column 3 of A317238.

%H R. H. Hardin, <a href="/A317233/b317233.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-2) +11*a(n-3) +a(n-4) -18*a(n-5) -48*a(n-6) -31*a(n-7) +19*a(n-8) +50*a(n-9) +34*a(n-10) +2*a(n-11) -4*a(n-12) -3*a(n-13) for n>14

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317238.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 24 2018

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Last modified May 8 12:43 EDT 2024. Contains 372333 sequences. (Running on oeis4.)