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A304947 Number of nX3 0..1 arrays with every element unequal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. 2

%I #4 May 22 2018 11:15:46

%S 1,7,13,21,29,58,120,250,515,1100,2302,4973,10539,22512,48417,103240,

%T 222483,476629,1023567,2201683,4721852,10159934,21815950,46884155,

%U 100796318,216507106,465528729,1000276465,2149938118,4621346273

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

%C Column 3 of A304952.

%H R. H. Hardin, <a href="/A304947/b304947.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) +2*a(n-2) -9*a(n-3) -8*a(n-4) +27*a(n-5) -8*a(n-6) -22*a(n-7) +29*a(n-8) -9*a(n-9) -22*a(n-10) +9*a(n-11) +44*a(n-12) -33*a(n-13) -10*a(n-14) +30*a(n-15) -32*a(n-16) +4*a(n-17) +6*a(n-18) for n>19

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304952.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 22 2018

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Last modified May 5 10:46 EDT 2024. Contains 372275 sequences. (Running on oeis4.)