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A279323 Number of nX2 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1

%I #4 Dec 09 2016 22:58:41

%S 0,0,16,152,1536,13776,118664,991616,8109024,65252928,518482400,

%T 4077987584,31806458880,246337686272,1896480302208,14525403049984,

%U 110754291988992,841167574029312,6366346796688896,48033932904861696

%N Number of nX2 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 2 of A279327.

%H R. H. Hardin, <a href="/A279323/b279323.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -68*a(n-2) -16*a(n-3) +300*a(n-4) +576*a(n-5) -992*a(n-6) -1856*a(n-7) -832*a(n-8) +1280*a(n-9) -256*a(n-10)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A279327.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 09 2016

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Last modified April 25 09:08 EDT 2024. Contains 371964 sequences. (Running on oeis4.)