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A280119 Number of nX3 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1

%I

%S 2,8,37,168,705,2852,11249,44120,172216,669642,2593331,10007214,

%T 38486137,147567972,564271722,2152340508,8191329673,31110463544,

%U 117934684593,446299653840,1686241733092,6361706382286,23968134395991,90186855338914

%N Number of nX3 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 3 of A280124.

%H R. H. Hardin, <a href="/A280119/b280119.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +a(n-2) -52*a(n-3) +51*a(n-4) +78*a(n-5) -173*a(n-6) +136*a(n-7) +17*a(n-8) -38*a(n-9) -49*a(n-10) +32*a(n-11) -24*a(n-12) -32*a(n-13) -16*a(n-14) for n>19

%e Some solutions for n=4

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

%e ..0..1..1. .0..1..1. .1..1..2. .1..1..1. .0..0..0. .1..1..1. .0..0..0

%e ..0..0..0. .0..0..1. .1..2..2. .1..1..2. .1..1..2. .1..1..2. .1..2..2

%e ..0..0..0. .0..0..1. .2..2..2. .1..2..2. .1..2..2. .1..2..2. .2..2..2

%Y Cf. A280124.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 26 2016

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Last modified October 27 23:26 EDT 2020. Contains 338047 sequences. (Running on oeis4.)