A239649 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.

2, 4, 4, 8, 20, 10, 16, 92, 112, 22, 32, 418, 1182, 560, 50, 64, 1898, 12246, 13476, 2874, 114, 128, 8588, 127454, 320314, 158728, 14788, 258, 256, 38888, 1320102, 7629186, 8634040, 1864886, 75540, 586, 512, 175974, 13703468, 181039448, 471203608

Offset: 1

Author

R. H. Hardin, Mar 23 2014

Keywords

• nonn
• tabl

Comments

Table starts

....2.......4..........8............16...............32...................64

....4......20.........92...........418.............1898.................8588

...10.....112.......1182.........12246...........127454..............1320102

...22.....560......13476........320314..........7629186............181039448

...50....2874.....158728.......8634040........471203608..........25594620082

..114...14788....1864886.....232304146......29007348454........3608789598890

..258...75540...21813374....6219477628....1778793691226......506611939408296

..586..387306..255830770..167002115382..109328664988704....71303275040032094

.1330.1983686.2997975560.4480024646968.6715782662219974.10028169382114414238

Examples

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

Links

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

Crossrefs

Column 1 is A078040

Row 1 is A000079

Formula

Empirical for column k:

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

k=2: [order 10]

k=3: [order 35]

Empirical for row n:

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

n=2: a(n) = 3*a(n-1) +12*a(n-2) -18*a(n-3) -29*a(n-4) +19*a(n-5) +38*a(n-6) +8*a(n-7)

n=3: [order 25]

n=4: [order 91]