A239256 T(n,k)=Number of nXk 0..4 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it, modulo 5

4, 13, 13, 41, 142, 41, 131, 1440, 1440, 131, 419, 14685, 47066, 14685, 419, 1339, 150265, 1536913, 1536913, 150265, 1339, 4279, 1536541, 50317761, 160787652, 50317761, 1536541, 4279, 13675, 15708373, 1646590515, 16849285277, 16849285277

Offset

1,1

Comments

Table starts

.....4.........13.............41.................131.....................419

....13........142...........1440...............14685..................150265

....41.......1440..........47066.............1536913................50317761

...131......14685........1536913...........160787652.............16849285277

...419.....150265.......50317761.........16849285277...........5651220281864

..1339....1536541.....1646590515.......1764528331828........1894001136279187

..4279...15708373....53870354874.....184748227954044......634624599110230148

.13675..160597823..1762466898003...19343554404948583...212646525863761263724

.43703.1641932577.57663066044594.2025327665047217766.71252844784847254804435

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

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

k=2: [order 25]

Example

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

Crossrefs

Sequence in context: A370644 A081738 A232496 * A043049 A135465 A135783

Adjacent sequences: A239253 A239254 A239255 * A239257 A239258 A239259

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 13 2014

Status

approved