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A222587 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.

%I A222587 #6 Jul 23 2025 02:48:05
%S A222587 1,1,1,1,1,1,4,5,5,4,5,18,9,18,5,14,59,112,112,59,14,17,200,426,1087,
%T A222587 426,200,17,70,820,4790,11442,11442,4790,820,70,89,3014,18007,128213,
%U A222587 111951,128213,18007,3014,89,326,11364,208768,1471412,3778560,3778560,1471412
%N A222587 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order.
%C A222587 Table starts
%C A222587 ....1......1.........1...........4............5............14.............17
%C A222587 ....1......1.........5..........18...........59...........200............820
%C A222587 ....1......5.........9.........112..........426..........4790..........18007
%C A222587 ....4.....18.......112........1087........11442........128213........1471412
%C A222587 ....5.....59.......426.......11442.......111951.......3778560.......41768676
%C A222587 ...14....200......4790......128213......3778560.....120603073.....4091063379
%C A222587 ...17....820.....18007.....1471412.....41768676....4091063379...133111379646
%C A222587 ...70...3014....208768....17068476...1506610325..143156705294.14368353140562
%C A222587 ...89..11364....783389...198654710..17357088679.5118550268413
%C A222587 ..326..42748...9222742..2328829654.636943229353
%C A222587 ..413.164652..34725955.27335961632
%C A222587 .1630.627034.412489970
%H A222587 R. H. Hardin, <a href="/A222587/b222587.txt">Table of n, a(n) for n = 1..111</a>
%e A222587 Some solutions for n=3 k=4
%e A222587 ..0..0..1..2....0..1..1..1....0..1..1..1....0..1..1..1....0..1..0..0
%e A222587 ..0..0..0..1....1..1..1..1....1..1..1..1....0..1..1..1....2..0..0..0
%e A222587 ..0..0..0..0....1..1..1..1....0..1..1..1....2..1..1..1....0..0..0..0
%Y A222587 Column 1 is A222364
%Y A222587 Column 2 is A222567
%K A222587 nonn,tabl
%O A222587 1,7
%A A222587 _R. H. Hardin_ Feb 25 2013