A239340 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it, modulo 4.

2, 5, 5, 12, 31, 12, 28, 172, 172, 28, 66, 926, 2187, 926, 66, 156, 5078, 27341, 27341, 5078, 156, 368, 27861, 346028, 790681, 346028, 27861, 368, 868, 152260, 4360887, 22952323, 22952323, 4360887, 152260, 868, 2048, 832207, 54774178, 663249556

Offset: 1

Author

R. H. Hardin, Mar 16 2014

Keywords

• nonn
• tabl

Comments

Table starts

....2.......5.........12.............28................66..................156

....5......31........172............926..............5078................27861

...12.....172.......2187..........27341............346028..............4360887

...28.....926......27341.........790681..........22952323............663249556

...66....5078.....346028.......22952323........1527488498.........101276030555

..156...27861....4360887......663249556......101276030555.......15397080750829

..368..152260...54774178....19117551262.....6693244281896.....2331550702010844

..868..832207..688266175...550960518608...442014330398515...352742924096563362

.2048.4550810.8649330696.15873533676775.29178369838713161.53342694175522093768

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..180

Formula

Empirical for column k:

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

k=2: [order 16]

k=3: [order 64]