A202931 T(n,k)=Number of nXk 0..2 arrays with adjacent row and column sums unequal

3, 6, 6, 12, 52, 12, 24, 352, 352, 24, 48, 2444, 8460, 2444, 48, 96, 17508, 194636, 194636, 17508, 96, 192, 124340, 4439916, 14394092, 4439916, 124340, 192, 384, 872940, 100236532, 1032147416, 1032147416, 100236532, 872940, 384, 768, 6112832

Offset

1,1

Comments

Table starts

....3........6..........12............24.............48.............96

....6.......52.........352..........2444..........17508.........124340

...12......352........8460........194636........4439916......100236532

...24.....2444......194636......14394092.....1032147416....72961197604

...48....17508.....4439916....1032147416...231197740500.50721408178292

...96...124340...100236532...72961197604.50721408178292

..192...872940..2247406834.5108912536716

..384..6112832.50175952564

..768.42822036

.1536

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Diagonal is A202649

Sequence in context: A208445 A208796 A319867 * A240250 A239424 A119306

Adjacent sequences: A202928 A202929 A202930 * A202932 A202933 A202934

Keyword

nonn,tabl

Author

R. H. Hardin Dec 26 2011

Status

approved