A232204 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element both >= and <= some horizontal, vertical or antidiagonal neighbor

15, 109, 109, 685, 2129, 685, 4483, 39651, 39651, 4483, 29469, 745157, 2064527, 745157, 29469, 193531, 14015499, 108997581, 108997581, 14015499, 193531, 1270657, 263553379, 5765893981, 16237318767, 5765893981, 263553379, 1270657

Offset

1,1

Comments

Table starts

......15........109............685..............4483.................29469

.....109.......2129..........39651............745157..............14015499

.....685......39651........2064527.........108997581............5765893981

....4483.....745157......108997581.......16237318767.........2425888162725

...29469...14015499.....5765893981.....2425888162725......1024215443152687

..193531..263553379...304936615565...362285582855051....432206209011195289

.1270657.4955798535.16125727718291.54098452658673021.182361235082538718699

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical for column k:

k=1: [linear recurrence of order 12]

k=2: [order 38] for n>40

Example

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

Crossrefs

Sequence in context: A243212 A365929 A232124 * A232117 A232197 A347500

Adjacent sequences: A232201 A232202 A232203 * A232205 A232206 A232207

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 20 2013

Status

approved