A206974 - OEIS

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A206974

T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column, nw-to-se diagonal or ne-to-sw antidiagonal

4, 16, 16, 61, 256, 61, 232, 3721, 3721, 232, 882, 53824, 180294, 53824, 882, 3353, 777924, 8685113, 8688551, 777924, 3353, 12747, 11242609, 419203246, 1391081032, 417476451, 11242609, 12747, 48460, 162486009, 20232472915, 223912418544

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Table starts

.....4.........16.............61..............232...............882

....16........256...........3721............53824............777924

....61.......3721.........180294..........8685113.........419203246

...232......53824........8688551.......1391081032......223912418544

...882.....777924......417476451.....221715091199...118749552817647

..3353...11242609....20061347530...35350565625684.63023113538493420

.12747..162486009...964232197214.5637076828393230

.48460.2348371600.46342878010975

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..60

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Column 1 and row 1 are A206570

Column 2 and row 2 are A206571

Sequence in context: A269201 A269289 A267933 * A206577 A207582 A207057

Adjacent sequences: A206971 A206972 A206973 * A206975 A206976 A206977

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 14 2012

STATUS

approved