A222371 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..2 order

1, 1, 1, 1, 1, 1, 4, 1, 1, 4, 5, 10, 5, 10, 5, 14, 11, 40, 40, 11, 14, 17, 104, 43, 191, 43, 104, 17, 70, 116, 858, 992, 992, 858, 116, 70, 89, 1126, 1801, 11249, 6214, 11249, 1801, 1126, 89, 326, 1256, 27718, 73499, 130562, 130562, 73499, 27718, 1256, 326, 413

Offset

1,7

Comments

Table starts

....1......1........1..........4.............5.............14.............17

....1......1........1.........10............11............104............116

....1......1........5.........40............43............858...........1801

....4.....10.......40........191...........992..........11249..........73499

....5.....11.......43........992..........6214.........130562.........840059

...14....104......858......11249........130562........2372459.......40861043

...17....116.....1801......73499........840059.......40861043......749968281

...70...1126....27718.....860209......27732900.....1104464320....46207222774

...89...1256....50589....6307306.....206541839....24442060020..1021894455344

..326..12524...808582...74012176....6709654616...740497034033.80312827691631

..413..14012..1611649..548361088...51859721195.17490369316698

.1630.140410.24401454.6378096812.1709263568642

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Example

Some solutions for n=4 k=4
..0..1..1..1....0..0..0..0....0..0..0..1....0..0..0..1....0..0..0..0
..2..2..2..2....0..0..0..0....0..0..0..1....0..0..0..0....1..0..0..0
..2..2..2..2....0..0..0..0....0..0..0..0....0..0..0..1....2..0..0..0
..2..2..2..2....1..1..0..2....0..0..0..1....0..0..0..0....2..0..0..0

Crossrefs

Sequence in context: A151904 A356296 A222360 * A222479 A285788 A293434

Adjacent sequences: A222368 A222369 A222370 * A222372 A222373 A222374

Keyword

nonn,tabl

Author

R. H. Hardin Feb 17 2013

Status

approved