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A316234 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jun 27 2018 15:31:30

%S 3,9,14,29,71,153,358,956,2612,7512,22712,70354,221685,707752,2276384,

%T 7352905,23817277,77283822,251019710,815800421,2652331295,8625138591,

%U 28051663849,91240418019,296781515740,965379355175,3140269013000

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

%C Column 3 of A316239.

%H R. H. Hardin, <a href="/A316234/b316234.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +10*a(n-3) -19*a(n-4) -14*a(n-5) -23*a(n-7) +17*a(n-8) -44*a(n-9) +131*a(n-10) +77*a(n-11) -105*a(n-12) -165*a(n-13) +99*a(n-14) +78*a(n-15) -42*a(n-16) -6*a(n-17) +4*a(n-18) for n>20

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316239.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 27 2018

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Last modified February 21 22:50 EST 2024. Contains 370239 sequences. (Running on oeis4.)