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A278172 Number of nX3 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero. 1

%I #4 Nov 13 2016 16:07:42

%S 0,5,18,126,737,4551,27692,169131,1032173,6300804,38460963,234775180,

%T 1433121527,8748112011,53400529535,325969389167,1989793771357,

%U 12146168927085,74143070289741,452586729708259,2762695786609647

%N Number of nX3 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

%C Column 3 of A278177.

%H R. H. Hardin, <a href="/A278172/b278172.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +11*a(n-2) -22*a(n-3) -31*a(n-4) +32*a(n-5) +47*a(n-6) +22*a(n-7) -17*a(n-8) -77*a(n-9) -73*a(n-10) -52*a(n-11) -37*a(n-12) -8*a(n-13) -a(n-14) +2*a(n-16) for n>18

%e Some solutions for n=4

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

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

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

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

%Y Cf. A278177.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 13 2016

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)