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A279743 Number of 3Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1

%I

%S 0,8,35,106,286,746,1887,4700,11553,28104,67759,162144,385583,912098,

%T 2147806,5037496,11773111,27427532,63715400,147634764,341291898,

%U 787312776,1812720970,4166252110,9559865376,21903001872,50112866179

%N Number of 3Xn 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Row 3 of A279741.

%H R. H. Hardin, <a href="/A279743/b279743.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -13*a(n-2) +10*a(n-3) +10*a(n-4) -30*a(n-5) +21*a(n-6) +2*a(n-7) -14*a(n-8) +10*a(n-9) -7*a(n-10) +6*a(n-11) +6*a(n-12) -2*a(n-13) -a(n-14) -2*a(n-15) -a(n-16) for n>18

%e Some solutions for n=4

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

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

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

%Y Cf. A279741.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 18 2016

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Last modified June 26 04:00 EDT 2022. Contains 354874 sequences. (Running on oeis4.)