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%I #4 Mar 27 2018 14:29:39
%S 32,855,15199,281758,5240684,97439921,1812097252,33701001773,
%T 626769301255,11656674265408,216791623977204,4031908496993218,
%U 74985787605598453,1394592394913802694,25936755278154522723
%N Number of nX6 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.
%C Column 6 of A301841.
%H R. H. Hardin, <a href="/A301839/b301839.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 45*a(n-1) -812*a(n-2) +8427*a(n-3) -59225*a(n-4) +308634*a(n-5) -1256189*a(n-6) +4115169*a(n-7) -11046335*a(n-8) +24584435*a(n-9) -45781016*a(n-10) +71898912*a(n-11) -95852394*a(n-12) +108964324*a(n-13) -105845027*a(n-14) +87815455*a(n-15) -62033967*a(n-16) +37077135*a(n-17) -18559186*a(n-18) +7664773*a(n-19) -2558244*a(n-20) +670720*a(n-21) -132612*a(n-22) +18528*a(n-23) -1616*a(n-24) +64*a(n-25) for n>27
%e Some solutions for n=5
%e ..0..1..1..0..1..0. .0..0..1..0..0..1. .0..1..1..0..0..1. .0..0..1..0..1..1
%e ..0..0..1..0..0..1. .0..1..0..1..0..0. .0..0..1..0..0..1. .0..1..1..0..1..0
%e ..0..0..1..1..0..1. .0..1..1..0..1..1. .0..0..1..0..0..1. .0..1..0..0..1..0
%e ..0..0..1..0..1..0. .0..0..1..0..0..1. .0..0..1..0..0..1. .0..1..1..0..1..0
%e ..0..1..1..1..0..0. .0..1..1..0..1..0. .0..0..1..1..0..0. .0..0..1..0..1..0
%Y Cf. A301841.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 27 2018
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