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A283686 Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors. 1

%I #4 Mar 14 2017 16:12:12

%S 8,49,264,1525,8732,49924,285770,1635402,9359104,53561285,306524651,

%T 1754204129,10039103443,57452599764,328794429339,1881651609689,

%U 10768469471919,61626676386770,352682175698390,2018358353003843

%N Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors.

%C Column 3 of A283691.

%H R. H. Hardin, <a href="/A283686/b283686.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +2*a(n-2) +14*a(n-3) -9*a(n-4) +2*a(n-5) -45*a(n-6) -20*a(n-7) -6*a(n-8) +24*a(n-9) +40*a(n-10)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A283691.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 14 2017

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)