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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 26 19:45 EST 2021. Contains 340442 sequences. (Running on oeis4.)