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A222703 T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order 7
1, 1, 1, 1, 1, 1, 4, 5, 5, 4, 5, 16, 9, 16, 5, 10, 29, 62, 62, 29, 10, 12, 78, 159, 359, 159, 78, 12, 34, 236, 955, 2002, 2002, 955, 236, 34, 43, 638, 2609, 12101, 11878, 12101, 2609, 638, 43, 101, 1515, 15700, 73901, 163123, 163123, 73901, 15700, 1515, 101, 127, 4345 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

...1.....1.......1.........4............5.............10..............12

...1.....1.......5........16...........29.............78.............236

...1.....5.......9........62..........159............955............2609

...4....16......62.......359.........2002..........12101...........73901

...5....29.....159......2002........11878.........163123.........1025809

..10....78.....955.....12101.......163123........2275891........32501123

..12...236....2609.....73901......1025809.......32501123.......477839646

..34...638...15700....460669.....14430600......470481133.....15677424850

..43..1515...43653...2883822.....93266451.....6874602187....236833178725

.101..4345..265172..18178638...1330837238...101296942810...7904715597566

.127.11927..745702.115115070...8729138750..1501871230690.121438163564977

.331.32187.4553731.732065684.125508527702.22379588717639

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..161

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A222353

Column 2 is A222535

Sequence in context: A320475 A106626 A280191 * A222587 A222378 A094848

Adjacent sequences:  A222700 A222701 A222702 * A222704 A222705 A222706

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 28 2013

STATUS

approved

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Last modified March 30 11:52 EDT 2020. Contains 333125 sequences. (Running on oeis4.)