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A183322 T(n,k)=Number of nXk binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it 10
2, 3, 3, 5, 6, 5, 8, 13, 13, 8, 13, 27, 43, 27, 13, 21, 57, 124, 124, 57, 21, 34, 119, 377, 480, 377, 119, 34, 55, 250, 1109, 1975, 1975, 1109, 250, 55, 89, 523, 3305, 7833, 11385, 7833, 3305, 523, 89, 144, 1097, 9767, 31428, 61755, 61755, 31428, 9767, 1097, 144 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Empirical: column k has a 2^k order linear recurrence (verified through k=6)

Table starts

...2....3.....5.......8.......13.........21..........34...........55

...3....6....13......27.......57........119.........250..........523

...5...13....43.....124......377.......1109........3305.........9767

...8...27...124.....480.....1975.......7833.......31428.......125103

..13...57...377....1975....11385......61755......343035......1872913

..21..119..1109....7833....61755.....455509.....3437801.....25528515

..34..250..3305...31428...343035....3437801....35629548....360327392

..55..523..9767..125103..1872913...25528515...360327392...4963103592

..89.1097.28959..498825.10288475..190243099..3674032121..68795107993

.144.2297.85677.1985956.56225061.1412491505.37171418048.947461430557

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..611

EXAMPLE

Some solutions for 7X3

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

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

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

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

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

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

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

CROSSREFS

Sequence in context: A207292 A064464 A094585 * A295918 A296834 A242642

Adjacent sequences:  A183319 A183320 A183321 * A183323 A183324 A183325

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 03 2011

STATUS

approved

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Last modified June 26 10:52 EDT 2022. Contains 354881 sequences. (Running on oeis4.)