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%I #6 Mar 27 2023 15:40:23
%S 1,0,0,0,0,0,3,2,2,3,4,7,2,7,4,4,10,17,17,10,4,5,23,27,101,27,23,5,20,
%T 64,194,426,426,194,64,20,27,175,467,1722,1847,1722,467,175,27,48,400,
%U 2375,8483,16440,16440,8483,2375,400,48,63,983,6320,46788,84558,161779,84558
%N T(n,k) = Number of n X k 0..1 arrays with exactly floor(n X k/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order.
%C Table starts
%C ...1....0......0........3..........4............4..............5
%C ...0....0......2........7.........10...........23.............64
%C ...0....2......2.......17.........27..........194............467
%C ...3....7.....17......101........426.........1722...........8483
%C ...4...10.....27......426.......1847........16440..........84558
%C ...4...23....194.....1722......16440.......161779........1752892
%C ...5...64....467.....8483......84558......1752892.......17977932
%C ..20..175...2375....46788.....910358.....18608623......398308251
%C ..27..400...6320...246899....4757427....201223272.....4297235804
%C ..48..983..31706..1263032...51324484...2201719251....98149697258
%C ..63.2498..84949..6568737..271866564..24272631638..1083889273467
%C .175.6409.426134.34802586.2984245628.268705232398.25078137790680
%H R. H. Hardin, <a href="/A222456/b222456.txt">Table of n, a(n) for n = 1..199</a>
%e Some solutions for n=4, k=4
%e ..0..1..1..1....0..0..1..1....0..0..0..0....0..0..1..0....0..1..1..1
%e ..1..1..1..1....1..1..1..1....0..0..0..0....1..1..1..1....0..0..0..0
%e ..1..1..1..0....0..1..1..1....0..0..0..1....1..1..1..1....0..0..0..0
%e ..1..1..1..1....1..1..1..1....0..1..1..0....1..1..1..1....0..0..0..0
%Y Column 1 is A222283.
%K nonn,tabl
%O 1,7
%A _R. H. Hardin_, Feb 20 2013
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