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%I #7 Sep 04 2022 22:14:20
%S 16,40,40,100,96,100,260,224,224,260,676,576,510,576,676,1716,1408,
%T 1336,1336,1408,1716,4356,3456,3196,3756,3196,3456,4356,11220,8320,
%U 7888,9368,9368,7888,8320,11220,28900,20864,18616,24392,23064,24392,18616,20864
%N T(n,k) = Number of (n+1) X (k+1) binary arrays with no 2 X 2 subblock sum equal to any horizontal or vertical neighbor 2 X 2 subblock sum.
%C Table starts
%C ....16.....40....100.....260.....676.....1716.....4356.....11220.....28900
%C ....40.....96....224.....576....1408.....3456.....8320.....20864.....50816
%C ...100....224....510....1336....3196.....7888....18616.....47776....114688
%C ...260....576...1336....3756....9368....24392....59944....164576....411300
%C ...676...1408...3196....9368...23064....61676...149828....433296...1073036
%C ..1716...3456...7888...24392...61676...175588...441004...1379208...3532152
%C ..4356...8320..18616...59944..149828...441004..1091308...3629540...9151956
%C .11220..20864..47776..164576..433296..1379208..3629540..13289252..35756268
%C .28900..50816.114688..411300.1073036..3532152..9151956..35756268..94533508
%C .73780.125312.287552.1098776.3000848.10752096.29663392.128976744.365151860
%H R. H. Hardin, <a href="/A185798/b185798.txt">Table of n, a(n) for n = 1..264</a>
%e Some solutions for 4 X 3
%e ..1..1..1....1..1..0....1..1..0....1..1..1....0..1..1....0..1..1....1..0..0
%e ..1..0..0....1..1..0....1..0..0....0..1..1....1..0..1....0..0..0....1..0..1
%e ..0..0..0....1..0..0....1..0..0....1..0..1....1..1..0....1..1..0....0..0..1
%e ..0..0..1....0..0..0....1..1..1....1..1..0....0..0..0....1..1..1....1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 04 2011