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A222635 T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order 8
1, 1, 1, 1, 1, 1, 4, 3, 3, 4, 5, 10, 5, 10, 5, 10, 22, 34, 34, 22, 10, 12, 49, 67, 161, 67, 49, 12, 34, 121, 388, 707, 707, 388, 121, 34, 43, 316, 915, 3309, 3200, 3309, 915, 316, 43, 101, 779, 4850, 16892, 31574, 31574, 16892, 4850, 779, 101, 127, 1921, 12037, 89384 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

Table starts

...1....1.....1.......4........5.........10...........12............34

...1....1.....3......10.......22.........49..........121...........316

...1....3.....5......34.......67........388..........915..........4850

...4...10....34.....161......707.......3309........16892.........89384

...5...22....67.....707.....3200......31574.......160614.......1732653

..10...49...388....3309....31574.....314146......3329090......35575297

..12..121...915...16892...160614....3329090.....34323408.....762299807

..34..316..4850...89384..1732653...35575297....762299807...16813884210

..43..779.12037..465258..9034170..385850578...8239136941..378401275324

.101.1921.63153.2414240.98521493.4227440605.188448398522.8639354062078

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..199

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A222353

Sequence in context: A179845 A180217 A270651 * A222649 A222616 A011762

Adjacent sequences:  A222632 A222633 A222634 * A222636 A222637 A222638

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 26 2013

STATUS

approved

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Last modified May 25 01:54 EDT 2019. Contains 323534 sequences. (Running on oeis4.)