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A231663 T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal, vertical and antidiagonal neighbors 8
3, 3, 3, 9, 15, 9, 22, 93, 93, 22, 51, 458, 1197, 458, 51, 121, 2163, 13434, 13434, 2163, 121, 292, 10789, 144465, 345519, 144465, 10789, 292, 704, 53813, 1607589, 8300390, 8300390, 1607589, 53813, 704, 1691, 265397, 17962078, 206363144, 434469343 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....3.......3..........9............22...............51.................121

....3......15.........93...........458.............2163...............10789

....9......93.......1197.........13434...........144465.............1607589

...22.....458......13434........345519..........8300390...........206363144

...51....2163.....144465.......8300390........434469343.........23632808750

..121...10789....1607589.....206363144......23632808750.......2825994465190

..292...53813...17962078....5175246459....1304771142134.....344368908016123

..704..265397..199451319..128866716238...71426776678405...41555342706134920

.1691.1311447.2215334132.3207643017150.3902799543486962.5000894272327355414

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..161

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -3*a(n-2) +4*a(n-3) -a(n-4) +a(n-5) for n>6

k=2: [order 15]

k=3: [order 57]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A202882 for n>1

Sequence in context: A188344 A217457 A231753 * A180439 A298315 A299189

Adjacent sequences:  A231660 A231661 A231662 * A231664 A231665 A231666

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 12 2013

STATUS

approved

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Last modified September 28 08:33 EDT 2020. Contains 337394 sequences. (Running on oeis4.)