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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..82

EXAMPLE

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

CROSSREFS

Column 1 is A007581(n-1)

Column 2 is A222373

Row 1 is A222372

Sequence in context: A327884 A050145 A222573 * A058676 A147649 A147644

Adjacent sequences:  A222676 A222677 A222678 * A222680 A222681 A222682

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 28 2013

STATUS

approved

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Last modified November 30 20:17 EST 2021. Contains 349425 sequences. (Running on oeis4.)