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A223041 T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..3 order 6
1, 1, 2, 2, 8, 5, 11, 98, 105, 15, 34, 1265, 3780, 1585, 51, 131, 17356, 229437, 255943, 23107, 187, 438, 241583, 8580619, 42964721, 10904199, 353631, 715, 2150, 3395532, 545607733, 7361951209, 8206670940, 751990800, 5338646, 2795, 7676, 48048796 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

.....1........1...........2............11............34...........131

.....2........8..........98..........1265.........17356........241583

.....5......105........3780........229437.......8580619.....545607733

....15.....1585......255943......42964721....7361951209.1278533695058

....51....23107....10904199....8206670940.3829674402996

...187...353631...751990800.1590576924149

...715..5338646.33007705273

..2795.81874696

.11051

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..49

EXAMPLE

Some solutions for n=3 k=4

..0..1..0..2....0..1..2..3....0..1..0..0....0..1..2..0....0..1..2..2

..3..1..3..2....0..1..1..2....2..1..3..2....3..0..2..3....0..1..2..3

..2..2..1..1....2..3..0..3....3..2..0..2....2..0..1..2....3..1..2..3

CROSSREFS

Column 1 is A007581(n-1)

Column 2 is A222839

Row 1 is A222650

Sequence in context: A075103 A021818 A241328 * A024558 A238452 A103238

Adjacent sequences:  A223038 A223039 A223040 * A223042 A223043 A223044

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 12 2013

STATUS

approved

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Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)