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A208314 T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than one of its immediate leftward or upward neighbors 7
1, 2, 2, 4, 6, 4, 8, 18, 18, 8, 16, 54, 78, 54, 16, 32, 162, 336, 336, 162, 32, 64, 486, 1446, 2052, 1446, 486, 64, 128, 1458, 6222, 12474, 12474, 6222, 1458, 128, 256, 4374, 26772, 75744, 106488, 75744, 26772, 4374, 256, 512, 13122, 115194, 459810, 906120, 906120 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2......4.......8.......16.........32..........64..........128

...2....6.....18......54......162........486........1458.........4374

...4...18.....78.....336.....1446.......6222.......26772.......115194

...8...54....336....2052....12474......75744......459810......2791152

..16..162...1446...12474...106488.....906120.....7702668.....65459016

..32..486...6222...75744...906120...10771434...127750122...1513877040

..64.1458..26772..459810..7702668..127750122..2110085532..34794255294

.128.4374.115194.2791152.65459016.1513877040.34794255294.797446347192

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..612

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Column 2 is A008776(n-1)

Sequence in context: A088965 A059474 A252828 * A078099 A264872 A303306

Adjacent sequences:  A208311 A208312 A208313 * A208315 A208316 A208317

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 25 2012

STATUS

approved

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Last modified December 3 17:23 EST 2021. Contains 349467 sequences. (Running on oeis4.)