A230250 T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero

0, 0, 0, 0, 2, 0, 0, 6, 6, 0, 0, 26, 34, 26, 0, 0, 118, 514, 514, 118, 0, 0, 522, 5838, 18218, 5838, 522, 0, 0, 2310, 64838, 517794, 517794, 64838, 2310, 0, 0, 10234, 722386, 15075834, 38111288, 15075834, 722386, 10234, 0, 0, 45334, 8040426, 442507578

Offset

1,5

Comments

Table starts

.0.....0.......0...........0..............0.................0.................0

.0.....2.......6..........26............118...............522..............2310

.0.....6......34.........514...........5838.............64838............722386

.0....26.....514.......18218.........517794..........15075834.........442507578

.0...118....5838......517794.......38111288........2905031942......220881339818

.0...522...64838....15075834.....2905031942......575915716590...113395635811566

.0..2310..722386...442507578...220881339818...113395635811566.57955254721687188

.0.10234.8040426.12967930114.16727315344402.22307089878854146

Links

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

Formula

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = 4*a(n-1) +a(n-2) +4*a(n-3)

k=3: [order 13]

k=4: [order 63]

Example

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

Crossrefs

Sequence in context: A128613 A231063 A295216 * A137250 A329290 A244133

Adjacent sequences: A230247 A230248 A230249 * A230251 A230252 A230253

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 13 2013

Status

approved