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A316422 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. 2

%I #4 Jul 02 2018 09:10:59

%S 3,9,14,32,75,148,311,687,1443,3042,6534,13887,29434,62747,133549,

%T 283771,603852,1284974,2732689,5813170,12367681,26307833,55962509,

%U 119051548,253252756,538730285,1146033768,2437923337,5186096335,11032236021

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

%C Column 3 of A316427.

%H R. H. Hardin, <a href="/A316422/b316422.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +5*a(n-3) +2*a(n-5) -2*a(n-6) -a(n-7) -2*a(n-8) -3*a(n-9) -2*a(n-11) -a(n-12)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316427.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 02 2018

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Last modified April 18 03:01 EDT 2024. Contains 371767 sequences. (Running on oeis4.)