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A279652 Number of nX3 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I #4 Dec 16 2016 11:41:24

%S 0,27,734,20448,549608,14309072,362942080,9010004672,219696673664,

%T 5276496285696,125098701453824,2933030497825792,68102636822126592,

%U 1567870419323465728,35824767230145847296,813097556314108592128

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

%C Column 3 of A279657.

%H R. H. Hardin, <a href="/A279652/b279652.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 66*a(n-1) -1560*a(n-2) +15448*a(n-3) -58272*a(n-4) +112224*a(n-5) -123456*a(n-6) +79104*a(n-7) -27648*a(n-8) +4096*a(n-9) for n>10

%e Some solutions for n=4

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

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

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

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

%Y Cf. A279657.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 16 2016

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Last modified August 22 03:40 EDT 2024. Contains 375354 sequences. (Running on oeis4.)