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

1,1

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

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]

Example

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

Crossrefs

Sequence in context: A377043 A183719 A379564 * A390032 A124201 A100953

Adjacent sequences: A239337 A239338 A239339 * A239341 A239342 A239343

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 16 2014

Status

approved