A241255 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 zero plus the sum of the elements antidiagonally to its northeast, modulo 4.

2, 3, 2, 4, 5, 4, 7, 4, 17, 6, 10, 10, 13, 39, 8, 15, 12, 34, 47, 87, 14, 24, 22, 71, 120, 174, 212, 20, 35, 41, 135, 446, 545, 606, 488, 30, 54, 59, 356, 1202, 3404, 2570, 2111, 1134, 48, 83, 120, 734, 3822, 11700, 25190, 13328, 6647, 2644, 70, 124, 171, 1705, 11428

Offset: 1

Author

R. H. Hardin, Apr 18 2014

Keywords

• nonn
• tabl

Comments

Table starts

..2....3.....4.......7........10.........15.........24.........35.........54

..2....5.....4......10........12.........22.........41.........59........120

..4...17....13......34........71........135........356........734.......1705

..6...39....47.....120.......446.......1202.......3822......11428......35540

..8...87...174.....545......3404......11700......50281.....252069.....959723

.14..212...606....2570.....25190.....124372.....752717....6264519...34987493

.20..488..2111...13328....225191....1558957...13138271..205823368.1596727720

.30.1134..6647...70264...2057343...22016913..265444281.8317272277

.48.2644.21752..390840..20539926..362503120.6509404451

.70.6118.70595.2166393.204332167.6317232175

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..127

Crossrefs

Column 1 is A239851

Row 1 is A159288(n+1)

Formula

Empirical for column k:

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

k=2: [order 34] for n>37

Empirical for row n:

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

n=2: [order 10] for n>12

n=3: [order 52] for n>59