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A279921 Number of nX2 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I #5 Dec 23 2016 08:15:43

%S 1,0,15,142,1350,12858,119396,1095012,9924024,89076240,792954264,

%T 7008783648,61565762448,537846507200,4675888234720,40474106338144,

%U 348966901404864,2998086166443584,25674017271458048,219205885504644096

%N Number of nX2 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 2 of A279925.

%H R. H. Hardin, <a href="/A279921/b279921.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) -192*a(n-2) +500*a(n-3) +204*a(n-4) -996*a(n-5) +1248*a(n-6) -1056*a(n-7) -4176*a(n-8) +2528*a(n-9) +912*a(n-10) -1536*a(n-11) +8896*a(n-12) +5376*a(n-13) -3648*a(n-14) -192*a(n-15) -3840*a(n-16) -9216*a(n-17) -4096*a(n-18) for n>19

%e Some solutions for n=4

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

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

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

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

%Y Cf. A279925.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 23 2016

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Last modified April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)