A232677 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically, diagonally or antidiagonally

36, 212, 212, 1568, 3138, 1568, 11878, 63632, 63632, 11878, 87680, 1323984, 3684840, 1323984, 87680, 651678, 26350948, 223396744, 223396744, 26350948, 651678, 4846056, 532378308, 12890094328, 39425246602, 12890094328, 532378308, 4846056

Offset

1,1

Comments

Table starts

......36.........212...........1568..............11878.................87680

.....212........3138..........63632............1323984..............26350948

....1568.......63632........3684840..........223396744...........12890094328

...11878.....1323984......223396744........39425246602.........6593726545958

...87680....26350948....12890094328......6593726545958......3186295643132436

..651678...532378308...754650484792...1120549772696776...1566033207755153544

.4846056.10773984656.44225213151124.190677413113742328.770628641578865476150

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

k=1: [linear recurrence of order 8]

k=2: [order 25]

k=3: [order 53]

Example

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

Crossrefs

Sequence in context: A120465 A361209 A144523 * A232670 A365308 A230470

Adjacent sequences: A232674 A232675 A232676 * A232678 A232679 A232680

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 27 2013

Status

approved