A230398 T(n,k)=Number of nXk 0..4 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 82, 82, 2, 0, 0, 8, 842, 3200, 842, 8, 0, 0, 32, 9068, 88580, 88580, 9068, 32, 0, 0, 120, 92538, 2467778, 6605632, 2467778, 92538, 120, 0, 0, 430, 934880, 68210356, 501998702, 501998702, 68210356, 934880, 430, 0, 0

Offset

1,17

Comments

Table starts

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

.0...0......0..........0.............2..............8.............32

.0...0......0.........82...........842...........9068..........92538

.0...0.....82.......3200.........88580........2467778.......68210356

.0...2....842......88580.......6605632......501998702....36506815072

.0...8...9068....2467778.....501998702....99394999376.18905431728130

.0..32..92538...68210356...36506815072.18905431728130

.0.120.934880.1854786186.2615818813066

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Formula

Empirical for column k:

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

k=2: a(n) = 4*a(n-1) -4*a(n-3) -9*a(n-4) -6*a(n-5)

k=3: [order 31]

Example

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

Crossrefs

Sequence in context: A209585 A090603 A020955 * A120826 A343588 A259308

Adjacent sequences: A230395 A230396 A230397 * A230399 A230400 A230401

Keyword

nonn,tabl

Author

R. H. Hardin, Oct 18 2013

Status

approved