A223104 T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order

1, 0, 0, 0, 6, 0, 6, 24, 16, 0, 16, 225, 546, 280, 0, 16, 1456, 12330, 13416, 1440, 0, 40, 11874, 198848, 737254, 255216, 16352, 0, 280, 86726, 5010580, 40395409, 45578462, 6939648, 111104, 0, 768, 681306, 82588214, 2222762597, 5423134897, 2870336499

Offset

1,5

Comments

Table starts

.1.......0..........0..............6................16....................16

.0.......6.........24............225..............1456.................11874

.0......16........546..........12330............198848...............5010580

.0.....280......13416.........737254..........40395409............2222762597

.0....1440.....255216.......45578462........5423134897.........1004385117484

.0...16352....6939648.....2870336499.....1153663937586.......460895553576913

.0..111104..137988216...183046326118...158311829556848....213925430588811826

.0.1072512.3821347968.11782118531553.34620760131094199.100165585587431382312

Links

R. H. Hardin, Table of n, a(n) for n = 1..125

Example

Some solutions for n=3 k=4
..0..1..2..1....0..0..1..0....0..0..1..0....0..1..1..0....0..1..1..2
..0..0..2..1....0..0..1..2....2..2..0..2....0..2..1..1....2..0..2..1
..1..2..1..0....0..0..1..0....0..2..1..2....1..2..1..1....2..2..0..2

Crossrefs

Row 1 is A222884

Sequence in context: A237444 A222918 A280480 * A222722 A222747 A222608

Adjacent sequences: A223101 A223102 A223103 * A223105 A223106 A223107

Keyword

nonn,tabl

Author

R. H. Hardin Mar 14 2013

Status

approved