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A252861 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every consecutive three elements in every row, column, diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order 9
117, 279, 279, 684, 432, 684, 1719, 738, 738, 1719, 4383, 1296, 1197, 1296, 4383, 11286, 2502, 1962, 1962, 2502, 11286, 29241, 4986, 3582, 3582, 3582, 4986, 29241, 76059, 9936, 6795, 7002, 7002, 6795, 9936, 76059, 198324, 20052, 12762, 13590 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....117...279...684...1719...4383...11286...29241...76059...198324...517923

....279...432...738...1296...2502....4986....9936...20052....40770....82872

....684...738..1197...1962...3582....6795...12762...24552....47367....91440

...1719..1296..1962...3582...7002...13590...26766...52650...104796...207414

...4383..2502..3582...7002..14229...28728...58644..119727...245016...501462

..11286..4986..6795..13590..28728...60588..126306..266391...562293..1185867

..29241..9936.12762..26766..58644..126306..275598..596250..1300068..2826126

..76059.20052.24552..52650.119727..266391..596250.1334322..3002328..6731217

.198324.40770.47367.104796.245016..562293.1300068.3002328..6954849.16128072

.517923.82872.91440.207414.501462.1185867.2826126.6731217.16128072.38574297

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..311

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -3*a(n-2) -2*a(n-3) +a(n-4)

k=2: [order 9]

k=3: a(n) = 2*a(n-1) -a(n-5) +a(n-6) -2*a(n-7) +a(n-8) for n>10

k=4: [order 10] for n>12

k=5: [order 16] for n>18

k=6: [order 23] for n>26

k=7: [order 34] for n>36

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A304611 A304610 A298047 * A252854 A156884 A255022

Adjacent sequences:  A252858 A252859 A252860 * A252862 A252863 A252864

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 23 2014

STATUS

approved

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Last modified May 18 19:58 EDT 2021. Contains 344002 sequences. (Running on oeis4.)