A240327 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.

2, 2, 2, 4, 5, 4, 6, 17, 17, 6, 8, 37, 116, 37, 8, 14, 80, 455, 455, 80, 14, 20, 213, 1677, 3374, 1677, 213, 20, 30, 443, 8091, 21455, 21455, 8091, 443, 30, 48, 1028, 28448, 189549, 247187, 189549, 28448, 1028, 48, 70, 2511, 117304, 1190246, 3898804

Offset: 1

Author

R. H. Hardin, Apr 03 2014

Keywords

• nonn
• tabl

Comments

Table starts

..2....2.......4.........6............8............14............20

..2....5......17........37...........80...........213...........443

..4...17.....116.......455.........1677..........8091.........28448

..6...37.....455......3374........21455........189549.......1190246

..8...80....1677.....21455.......247187.......3898804......43979526

.14..213....8091....189549......3898804.....113751796....2343565571

.20..443...28448...1190246.....43979526....2343565571...88562956949

.30.1028..117304...8903613....602874070...58754628922.4085612680937

.48.2511..513841..70945972...8649395684.1550370290554

.70.5370.1871262.460466581.101952716878

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..111

Crossrefs

Column 1 is A239851

Formula

Empirical for column k:

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

k=2: [order 13] for n>14