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A183402 T(n,k)=Half the number of nXk binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors 5
1, 2, 2, 4, 2, 4, 8, 2, 2, 8, 16, 8, 6, 8, 16, 32, 18, 32, 32, 18, 32, 64, 50, 110, 242, 110, 50, 64, 128, 128, 450, 1152, 1152, 450, 128, 128, 256, 338, 1680, 6962, 8366, 6962, 1680, 338, 256, 512, 882, 6498, 38642, 72962, 72962, 38642, 6498, 882, 512, 1024, 2312 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Same solutions for no element unequal to a strict majority of its neighbors, via xor with a 0101... stripe pattern

Table starts

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

...2....2.....2.......8........18..........50...........128............338

...4....2.....6......32.......110.........450..........1680...........6498

...8....8....32.....242......1152........6962.........38642.........220448

..16...18...110....1152......8366.......72962........592416........4948658

..32...50...450....6962.....72962......938450......11319282......139678898

..64..128..1680...38642....592416....11319282.....202832490.....3698688032

.128..338..6498..220448...4948658...139678898....3698688032....99698985800

.256..882.24794.1267232..41522206..1739674098...68428470200..2731826901458

.512.2312.95048.7242818.347213952.21566321928.1257828055362.74389478730002

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..475

EXAMPLE

Some solutions with a(1,1)=0 for 5X4

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

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

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

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

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

CROSSREFS

Column 2 is 2*A007598(n-1) for n>1

Sequence in context: A219403 A219451 A097800 * A217839 A083779 A045865

Adjacent sequences:  A183399 A183400 A183401 * A183403 A183404 A183405

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 04 2011

STATUS

approved

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Last modified September 20 23:04 EDT 2021. Contains 347596 sequences. (Running on oeis4.)