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A317560 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 31 2018 12:35:06

%S 4,32,228,1619,11510,81814,581541,4133710,29383111,208860377,

%T 1484616765,10552920182,75012037028,533198924617,3790072965570,

%U 26940513998485,191497974085549,1361201723303423,9675664405327884,68776346725332218

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

%C Column 3 of A317565.

%H R. H. Hardin, <a href="/A317560/b317560.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +11*a(n-2) -11*a(n-3) -72*a(n-4) -54*a(n-5) for n>6

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317565.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 31 2018

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)