A203610 T(n,k)=Number of nXk 0,1 arrays with adjacent row and column sums unequal

2, 2, 2, 2, 8, 2, 2, 20, 20, 2, 2, 44, 126, 44, 2, 2, 116, 728, 728, 116, 2, 2, 332, 4374, 10016, 4374, 332, 2, 2, 900, 25788, 129656, 129656, 25788, 900, 2, 2, 2268, 149794, 1649668, 3648810, 1649668, 149794, 2268, 2, 2, 5716, 866692, 20742920, 98676048

Offset

1,1

Comments

Table starts

.2.....2........2...........2..............2...............2................2

.2.....8.......20..........44............116.............332..............900

.2....20......126.........728...........4374...........25788...........149794

.2....44......728.......10016.........129656.........1649668.........20742920

.2...116.....4374......129656........3648810........98676048.......2608783126

.2...332....25788.....1649668.......98676048......5616280768.....310153746516

.2...900...149794....20742920.....2608783126....310153746516...35610018145138

.2..2268...866692...256903112....67877862300..16801526882832.3993667091848452

.2..5716..4989242..3151779352..1746486947416.897690327775816

.2.14892.28600208.38451720324.44565435574244

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

Some solutions for 4X4
..0..0..0..1....1..0..0..0....1..1..1..0....0..1..1..0....0..0..1..1
..0..0..1..1....0..1..1..0....1..0..1..0....1..1..0..1....0..0..0..1
..0..1..0..0....1..0..1..1....0..0..0..1....1..0..0..0....0..0..0..0
..0..1..0..1....1..1..1..1....1..0..1..0....1..0..0..1....1..0..0..0

Crossrefs

Diagonal is A202648

Sequence in context: A087577 A323741 A168281 * A294873 A058788 A013598

Adjacent sequences: A203607 A203608 A203609 * A203611 A203612 A203613

Keyword

nonn,tabl

Author

R. H. Hardin Jan 03 2012

Status

approved