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A316955 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1

%I #4 Jul 17 2018 12:29:51

%S 4,32,220,1498,10243,70037,478941,3275421,22400407,153196114,

%T 1047708300,7165282183,49003412145,335134684958,2291988565129,

%U 15674926737950,107200940180870,733148025596363,5014004790884386,34290816000118746

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

%C Column 3 of A316960.

%H R. H. Hardin, <a href="/A316955/b316955.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +9*a(n-2) -14*a(n-3) -52*a(n-4) -33*a(n-5) for n>6

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316960.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 17 2018

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Last modified December 2 04:17 EST 2023. Contains 367506 sequences. (Running on oeis4.)