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%I #4 Mar 05 2017 10:21:12
%S 0,26,572,7804,106310,1354928,16714556,201420678,2383832160,
%T 27824093298,321172238658,3673720138432,41704604879690,
%U 470412062965664,5277001796062030,58915371919958224,655029886521975970
%N Number of nX4 0..1 arrays with no 1 equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.
%C Column 4 of A283347.
%H R. H. Hardin, <a href="/A283343/b283343.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-1) -20*a(n-2) -260*a(n-3) -1402*a(n-4) -642*a(n-5) +2210*a(n-6) +14686*a(n-7) -22971*a(n-8) -12276*a(n-9) -135115*a(n-10) +457628*a(n-11) -589163*a(n-12) +1592124*a(n-13) -5199987*a(n-14) +11546098*a(n-15) -25014241*a(n-16) +59528938*a(n-17) -134183673*a(n-18) +292740174*a(n-19) -619589652*a(n-20) +1221520984*a(n-21) -2269849168*a(n-22) +4040049416*a(n-23) -6659990695*a(n-24) +9756671026*a(n-25) -12470420635*a(n-26) +13724970116*a(n-27) -12836061141*a(n-28) +10304073698*a(n-29) -7475423051*a(n-30) +5092676376*a(n-31) -3088317260*a(n-32) +1568521200*a(n-33) -714987914*a(n-34) +316968660*a(n-35) -114489157*a(n-36) +25044786*a(n-37) -2313441*a(n-38)
%e Some solutions for n=4
%e ..1..0..0..0. .1..0..1..1. .0..1..1..1. .1..1..1..0. .1..1..0..1
%e ..1..1..0..1. .0..1..0..0. .0..1..0..0. .1..0..0..0. .0..1..1..1
%e ..1..0..1..0. .0..0..0..1. .0..0..1..1. .0..1..1..0. .0..0..0..0
%e ..0..0..1..1. .1..1..1..1. .1..0..0..1. .0..1..0..0. .1..1..0..1
%Y Cf. A283347.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 05 2017
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