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A301904 Number of nX6 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%I A301904 #4 Mar 28 2018 16:07:50
%S A301904 1,6,7,40,92,532,1999,10150,46226,234484,1167106,6013755,31027951,
%T A301904 161979950,848039052,4458470286,23481316334,123866264459,653972874084,
%U A301904 3454977358732,18260006314624,96532215568355,510408646716334
%N A301904 Number of nX6 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
%C A301904 Column 6 of A301906.
%H A301904 R. H. Hardin, <a href="/A301904/b301904.txt">Table of n, a(n) for n = 1..210</a>
%F A301904 Empirical: a(n) = 3*a(n-1) +22*a(n-2) -23*a(n-3) -132*a(n-4) -102*a(n-5) -188*a(n-6) +202*a(n-7) +1241*a(n-8) +242*a(n-9) -1952*a(n-10) -662*a(n-11) +1583*a(n-12) +498*a(n-13) -772*a(n-14) -182*a(n-15) +220*a(n-16) +31*a(n-17) -22*a(n-18) -7*a(n-19) +a(n-20) for n>21
%e A301904 Some solutions for n=5
%e A301904 ..0..1..1..1..1..1. .0..1..1..0..0..1. .0..1..1..1..1..1. .0..1..1..1..1..1
%e A301904 ..1..1..0..1..1..1. .1..1..0..0..0..0. .1..1..0..1..1..0. .1..1..0..1..1..0
%e A301904 ..1..1..1..0..1..0. .0..1..1..0..0..1. .1..1..1..0..1..0. .0..1..0..1..1..1
%e A301904 ..0..1..1..1..1..1. .1..1..1..1..0..0. .0..1..1..0..1..1. .0..1..1..0..1..1
%e A301904 ..1..1..0..1..1..0. .0..1..1..0..0..1. .1..1..1..1..1..0. .1..1..1..1..1..0
%Y A301904 Cf. A301906.
%K A301904 nonn
%O A301904 1,2
%A A301904 _R. H. Hardin_, Mar 28 2018