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R. H. Hardin, <a href="/A222679/b222679.txt">Table of n, a(n) for n = 1..82</a>

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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

1, 1, 2, 1, 1, 5, 4, 5, 5, 15, 5, 10, 11, 18, 51, 14, 25, 58, 130, 63, 187, 17, 150, 142, 527, 670, 234, 715, 75, 359, 2398, 5374, 8276, 9587, 1163, 2795, 95, 2249, 6463, 58167, 69973, 133028, 51055, 4953, 11051, 411, 6511, 146947, 687222, 1999404, 3759625

1,3

Table starts

......1......1........1.........4..........5.........14.........17.........75

......2......1........5........10.........25........150........359.......2249

......5......5.......11........58........142.......2398.......6463.....146947

.....15.....18......130.......527.......5374......58167.....687222...11377192

.....51.....63......670......8276......69973....1999404...20997839.1097897602

....187....234.....9587....133028....3759625...96510910.3254033272

....715...1163....51055...2363628...65204276.5825299399

...2795...4953...832433..40206464.4282689196

..11051..24021..4403793.727306856

..43947.109395.76270010

.175275.536457

.700075

Some solutions for n=3 k=4

..0..1..0..0....0..0..0..0....0..1..0..1....0..0..0..1....0..0..0..0

..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..2....0..0..0..0

..0..0..0..0....0..1..0..0....0..0..0..0....0..0..0..1....0..0..1..1

Column 1 is A007581(n-1)

Column 2 is A222373

Row 1 is A222372

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nonn,tabl

R. H. Hardin Feb 28 2013

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