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%I #6 Apr 16 2023 20:10:26
%S 0,676,3838,7064,13446,23216,37462,57468,87252,135112,211998,333400,
%T 526832,834536,1322878,2100904,3340468,5310496,8440806,13411668,
%U 21294588,33787028,53571622,84875628,134369192,212570368,336041114,530858836
%N Number of 6 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
%C Row 6 of A281400.
%H R. H. Hardin, <a href="/A281405/b281405.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +6*a(n-3) -7*a(n-4) +6*a(n-5) -a(n-6) -4*a(n-7) +5*a(n-8) -4*a(n-9) +4*a(n-10) -2*a(n-11) -a(n-12) +2*a(n-13) -a(n-14) for n>25.
%e Some solutions for n=4
%e ..0..1..0..1. .0..1..1..1. .0..1..0..0. .0..1..1..0. .0..1..0..1
%e ..0..1..0..1. .0..1..0..1. .1..0..1..1. .0..0..0..1. .0..1..0..1
%e ..0..1..0..1. .0..1..0..1. .1..0..1..0. .0..1..0..1. .0..1..1..1
%e ..0..1..0..1. .1..1..0..1. .1..0..1..0. .0..1..0..1. .0..1..0..1
%e ..0..0..0..1. .1..0..0..1. .1..1..1..1. .0..1..0..1. .0..1..0..0
%e ..0..1..0..1. .1..0..1..1. .1..0..0..0. .0..1..0..0. .1..1..1..0
%Y Cf. A281400.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 21 2017
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