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%I #4 Aug 16 2018 10:23:15
%S 1,1,1,1,2,1,1,2,2,1,1,3,2,3,1,1,5,7,7,5,1,1,10,7,47,7,10,1,1,23,11,
%T 159,159,11,23,1,1,54,15,547,493,547,15,54,1,1,131,62,1976,1945,1945,
%U 1976,62,131,1,1,321,104,8031,8525,10843,8525,8031,104,321,1,1,789,141,32040
%N T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Table starts
%C .1...1...1.....1......1.......1........1.........1..........1...........1
%C .1...2...2.....3......5......10.......23........54........131.........321
%C .1...2...2.....7......7......11.......15........62........104.........141
%C .1...3...7....47....159.....547.....1976......8031......32040......126847
%C .1...5...7...159....493....1945.....8525.....37863.....161424......688404
%C .1..10..11...547...1945...10843....68301....432496....2725920....16794426
%C .1..23..15..1976...8525...68301...504606...4057433...31285292...240249513
%C .1..54..62..8031..37863..432496..4057433..44408035..446314981..4540720013
%C .1.131.104.32040.161424.2725920.31285292.446314981.5866156032.76596251675
%H R. H. Hardin, <a href="/A318091/b318091.txt">Table of n, a(n) for n = 1..220</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: a(n) = 2*a(n-1) +a(n-2) +a(n-3) -a(n-4) -a(n-5) -a(n-6)
%F k=3: [order 24]
%e Some solutions for n=5 k=4
%e ..0..1..0..0. .0..1..0..0. .0..1..1..0. .0..1..0..0. .0..1..0..1
%e ..1..0..1..1. .1..1..1..1. .1..0..1..0. .1..1..0..0. .1..0..0..0
%e ..1..1..1..0. .0..1..1..0. .0..1..1..1. .0..1..1..1. .0..1..1..0
%e ..0..1..0..1. .0..0..0..1. .1..0..1..0. .0..1..1..0. .0..0..0..1
%e ..0..1..1..0. .1..0..1..0. .0..1..0..1. .0..1..0..1. .1..0..1..0
%Y Column 2 is A317809.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Aug 16 2018
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