A205097 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors

256, 1328, 1328, 8176, 13116, 8176, 55848, 171790, 171790, 55848, 401164, 2323490, 4251766, 2323490, 401164, 2965056, 33432873, 124624799, 124624799, 33432873, 2965056, 22161076, 473468278, 3475452601, 6997750028, 3475452601, 473468278

Offset

1,1

Comments

Table starts

.......256........1328...........8176.............55848................401164

......1328.......13116.........171790...........2323490..............33432873

......8176......171790........4251766.........124624799............3475452601

.....55848.....2323490......124624799........6997750028..........443278874512

....401164....33432873.....3475452601......443278874512........56016870922512

...2965056...473468278...103284968982....26283777611416......7775889911404311

..22161076..6825854177..2919626746607..1671381122482219...1006455738823529884

.166572246.97434972458.86197641979010.99772701549024254.140049946522756985512

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Example

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

Crossrefs

Sequence in context: A113877 A237398 A237392 * A205090 A231943 A206327

Adjacent sequences: A205094 A205095 A205096 * A205098 A205099 A205100

Keyword

nonn,tabl

Author

R. H. Hardin Jan 22 2012

Status

approved