A241283 T(n,k)=Number of nXk 0..3 arrays with no element equal to one 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 or one plus the sum of the elements antidiagonally to its northeast, modulo 4.

2, 3, 4, 4, 3, 10, 7, 5, 9, 24, 10, 13, 41, 36, 56, 15, 17, 126, 236, 139, 132, 24, 35, 224, 773, 1615, 532, 312, 35, 90, 934, 1800, 6783, 12356, 2111, 736, 54, 141, 2741, 16843, 20717, 77955, 96171, 8473, 1736, 83, 288, 5225, 54167, 451318, 309657, 1009773

Offset: 1

Author

R. H. Hardin, Apr 18 2014

Keywords

• nonn
• tabl

Comments

Table starts

....2......3........4..........7..........10............15...........24

....4......3........5.........13..........17............35...........90

...10......9.......41........126.........224...........934.........2741

...24.....36......236........773........1800.........16843........54167

...56....139.....1615.......6783.......20717........451318......1543713

..132....532....12356......77955......309657......15616828.....60486552

..312...2111....96171....1009773.....5423164.....730435588...2949336562

..736...8473...761754...14440961...113305157...40083129145.193899487190

.1736..34053..6079503..217830879..2759021846.2390612565177

.4096.136880.48655224.3381893022.75062814060

Examples

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

Links

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

Crossrefs

Column 1 is A052912

Row 1 is A159288(n+1)

Formula

Empirical for column k:

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

k=2: [order 31]

Empirical for row n:

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

n=2: [order 17] for n>18