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%I #4 Nov 21 2017 07:11:49
%S 2,3,3,5,8,5,8,19,19,8,13,48,74,48,13,21,120,278,278,120,21,34,299,
%T 1067,1634,1067,299,34,55,747,4071,9507,9507,4071,747,55,89,1865,
%U 15557,55643,85310,55643,15557,1865,89,144,4656,59407,325134,761795,761795,325134
%N T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2 or 4 1s.
%C Table starts
%C ..2....3......5........8........13..........21............34.............55
%C ..3....8.....19.......48.......120.........299...........747...........1865
%C ..5...19.....74......278......1067........4071.........15557..........59407
%C ..8...48....278.....1634......9507.......55643........325134........1900380
%C .13..120...1067.....9507.....85310......761795.......6819658.......60996884
%C .21..299...4071....55643....761795....10437240.....142860055.....1956512289
%C .34..747..15557...325134...6819658...142860055....2995361770....62765357574
%C .55.1865..59407..1900380..60996884..1956512289...62765357574..2013609204094
%C .89.4656.226944.11107738.545729054.26790134422.1315649551906.64595519660126
%H R. H. Hardin, <a href="/A295379/b295379.txt">Table of n, a(n) for n = 1..311</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +a(n-2)
%F k=2: a(n) = 2*a(n-1) +a(n-2) +a(n-3) -a(n-4)
%F k=3: [order 10]
%F k=4: [order 25]
%F k=5: [order 70]
%e Some solutions for n=5 k=4
%e ..0..0..0..0. .1..0..1..0. .0..0..1..0. .0..0..0..1. .0..0..1..0
%e ..0..1..0..0. .0..0..0..0. .1..1..0..1. .1..0..0..0. .1..0..0..0
%e ..1..0..0..1. .0..0..0..1. .1..1..1..0. .0..0..0..0. .0..1..0..0
%e ..0..0..1..0. .1..1..0..0. .0..1..1..1. .0..0..0..1. .1..0..0..1
%e ..0..1..0..0. .1..1..0..1. .0..0..1..1. .0..0..1..0. .0..1..0..0
%Y Column 1 is A000045(n+2).
%Y Column 2 is A295045.
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Nov 21 2017
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