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A222616 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order.

%I A222616 #6 Jul 23 2025 02:50:24
%S A222616 1,1,1,1,1,1,4,3,3,4,5,12,5,12,5,14,40,65,65,40,14,17,149,181,567,181,
%T A222616 149,17,75,615,3545,5746,5746,3545,615,75,95,2659,11421,85511,60550,
%U A222616 85511,11421,2659,95,411,11641,243955,1409334,2921905,2921905,1409334
%N A222616 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..3 order.
%C A222616 Table starts
%C A222616 ....1.......1..........1.............4..............5...............14
%C A222616 ....1.......1..........3............12.............40..............149
%C A222616 ....1.......3..........5............65............181.............3545
%C A222616 ....4......12.........65...........567...........5746............85511
%C A222616 ....5......40........181..........5746..........60550..........2921905
%C A222616 ...14.....149.......3545.........85511........2921905........118162369
%C A222616 ...17.....615......11421.......1409334.......43650470.......5996281816
%C A222616 ...75....2659.....243955......23117220.....2748085305.....346754406852
%C A222616 ...95...11641.....829319.....385330520....44499006072...21456580709691
%C A222616 ..411...51672...17592855....6476514601..2935039880037.1373306350646075
%C A222616 ..519..231598...61952605..108758391488.48422176002273
%C A222616 .2522.1044550.1284213397.1826675971872
%H A222616 R. H. Hardin, <a href="/A222616/b222616.txt">Table of n, a(n) for n = 1..127</a>
%e A222616 Some solutions for n=3 k=4
%e A222616 ..0..0..0..1....0..0..0..0....0..0..0..0....0..1..1..1....0..0..0..0
%e A222616 ..0..0..1..1....0..0..0..1....0..0..0..0....1..1..1..1....0..0..0..1
%e A222616 ..0..0..1..1....0..0..0..0....0..0..0..0....1..1..1..0....0..0..2..1
%Y A222616 Column 1 is A222372
%K A222616 nonn,tabl
%O A222616 1,7
%A A222616 _R. H. Hardin_ Feb 26 2013