A239424 T(n,k)=Number of nXk 0..3 arrays with no element equal to the sum of elements to its left or the sum of the elements above it or the sum of the elements diagonally to its northwest, modulo 4

3, 6, 6, 14, 18, 14, 32, 80, 80, 32, 72, 320, 684, 320, 72, 164, 1244, 4740, 4740, 1244, 164, 372, 4990, 34728, 60626, 34728, 4990, 372, 844, 19560, 247942, 811554, 811554, 247942, 19560, 844, 1916, 77220, 1823840, 10575232, 21127494, 10575232, 1823840

Offset

1,1

Comments

Table starts

....3.......6........14..........32...........72...........164...........372

....6......18........80.........320.........1244..........4990.........19560

...14......80.......684........4740........34728........247942.......1823840

...32.....320......4740.......60626.......811554......10575232.....145743440

...72....1244.....34728......811554.....21127494.....503941286...13584156020

..164....4990....247942....10575232....503941286...22336992290.1143701274244

..372...19560...1823840...145743440..13584156020.1143701274244

..844...77220..13104784..1928821306.331591613568

.1916..304224..96061078.26684346362

.4348.1197958.695765782

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

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

k=2: [order 14] for n>15

Example

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

Crossrefs

Column 1 is A238768

Sequence in context: A319867 A202931 A240250 * A119306 A107972 A238775

Adjacent sequences: A239421 A239422 A239423 * A239425 A239426 A239427

Keyword

nonn,tabl

Author

R. H. Hardin, Mar 17 2014

Status

approved