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A222679 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order.

%I A222679 #6 Jul 23 2025 02:55:05
%S A222679 1,1,2,1,1,5,4,5,5,15,5,10,11,18,51,14,25,58,130,63,187,17,150,142,
%T A222679 527,670,234,715,75,359,2398,5374,8276,9587,1163,2795,95,2249,6463,
%U A222679 58167,69973,133028,51055,4953,11051,411,6511,146947,687222,1999404,3759625
%N A222679 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order.
%C A222679 Table starts
%C A222679 ......1......1........1.........4..........5.........14.........17.........75
%C A222679 ......2......1........5........10.........25........150........359.......2249
%C A222679 ......5......5.......11........58........142.......2398.......6463.....146947
%C A222679 .....15.....18......130.......527.......5374......58167.....687222...11377192
%C A222679 .....51.....63......670......8276......69973....1999404...20997839.1097897602
%C A222679 ....187....234.....9587....133028....3759625...96510910.3254033272
%C A222679 ....715...1163....51055...2363628...65204276.5825299399
%C A222679 ...2795...4953...832433..40206464.4282689196
%C A222679 ..11051..24021..4403793.727306856
%C A222679 ..43947.109395.76270010
%C A222679 .175275.536457
%C A222679 .700075
%H A222679 R. H. Hardin, <a href="/A222679/b222679.txt">Table of n, a(n) for n = 1..82</a>
%e A222679 Some solutions for n=3 k=4
%e A222679 ..0..1..0..0....0..0..0..0....0..1..0..1....0..0..0..1....0..0..0..0
%e A222679 ..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..2....0..0..0..0
%e A222679 ..0..0..0..0....0..1..0..0....0..0..0..0....0..0..0..1....0..0..1..1
%Y A222679 Column 1 is A007581(n-1)
%Y A222679 Column 2 is A222373
%Y A222679 Row 1 is A222372
%K A222679 nonn,tabl
%O A222679 1,3
%A A222679 _R. H. Hardin_ Feb 28 2013