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A203362 T(n,k)=Number of nXk binary arrays with every 1 immediately preceded by 0 to the left or above 7
1, 2, 2, 3, 7, 3, 5, 20, 20, 5, 8, 61, 102, 61, 8, 13, 182, 565, 565, 182, 13, 21, 547, 3042, 5677, 3042, 547, 21, 34, 1640, 16538, 55517, 55517, 16538, 1640, 34, 55, 4921, 89610, 547897, 984703, 547897, 89610, 4921, 55, 89, 14762, 486103, 5390325, 17631496 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

..1....2......3........5..........8...........13.............21

..2....7.....20.......61........182..........547...........1640

..3...20....102......565.......3042........16538..........89610

..5...61....565.....5677......55517.......547897........5390325

..8..182...3042....55517.....984703.....17631496......314688054

.13..547..16538...547897...17631496....572818585....18550312526

.21.1640..89610..5390325..314688054..18550312526..1089970014327

.34.4921.486103.53087833.5622720187.601393482628.64114204398028

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1011

EXAMPLE

Some solutions for n=5 k=3

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n+1)

Column 2 is A015518(n+1)

Sequence in context: A134232 A123934 A208151 * A183407 A222838 A222944

Adjacent sequences:  A203359 A203360 A203361 * A203363 A203364 A203365

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Dec 31 2011

STATUS

approved

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Last modified May 25 16:14 EDT 2022. Contains 354071 sequences. (Running on oeis4.)