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A251836 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 3 4 5 or 6 7
678, 3354, 3354, 18124, 27554, 18124, 97316, 262404, 262404, 97316, 518514, 2298772, 4182084, 2298772, 518514, 2764828, 20314774, 60982362, 60982362, 20314774, 2764828, 14778068, 182241310, 909331750, 1464435968, 909331750 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......678.........3354..........18124.............97316..............518514

......3354........27554.........262404...........2298772............20314774

.....18124.......262404........4182084..........60982362...........909331750

.....97316......2298772.......60982362........1464435968.........35836727866

....518514.....20314774......909331750.......35836727866.......1454229580342

...2764828....182241310....13666111138......887220145536......59837326193896

..14778068...1624862992...204086278908....21825045338978....2436875668334036

..79010324..14480032642..3052378129920...537093052578680...99399713033369638

.422170156.129225388882.45680535734562.13229795888571514.4060471517492016406

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..112

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 27] for n>29

k=2: [order 65] for n>67

EXAMPLE

Some solutions for n=2 k=4

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

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

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

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

CROSSREFS

Sequence in context: A248887 A031524 A158385 * A251830 A250872 A186127

Adjacent sequences: A251833 A251834 A251835 * A251837 A251838 A251839

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 09 2014

STATUS

approved

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Last modified November 29 18:13 EST 2022. Contains 358431 sequences. (Running on oeis4.)