A240284 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

1, 2, 2, 2, 8, 3, 4, 19, 19, 4, 4, 76, 80, 38, 7, 8, 181, 570, 262, 114, 10, 8, 741, 2574, 3457, 1461, 251, 15, 16, 1779, 20764, 28654, 33183, 5443, 612, 24, 16, 7308, 97348, 443168, 484146, 218658, 24490, 1656, 35, 32, 17561, 802835, 3980245, 13490093, 5646644

Offset: 1

Author

R. H. Hardin, Apr 03 2014

Keywords

• nonn
• tabl

Comments

Table starts

..1....2.......2.........4............4.............8..............8

..2....8......19........76..........181...........741...........1779

..3...19......80.......570.........2574.........20764..........97348

..4...38.....262......3457........28654........443168........3980245

..7..114....1461.....33183.......484146......13490093......224906182

.10..251....5443....218658......5646644.....281488213.....8597299482

.15..612...24490...1851080.....88953626....8199368365...463717321235

.24.1656..117962..15760838...1357879302..225885684501.23104690637116

.35.3758..459193.110599613..17350066110.5291794810655

.54.9630.2147788.945852472.272318368893

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..111

Crossrefs

Column 1 is A159288

Row 1 is A016116

Formula

Empirical for column k:

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

k=2: [order 15]

Empirical for row n:

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

n=2: a(n) = 12*a(n-2) -24*a(n-4) +31*a(n-6) -16*a(n-8)

n=3: [order 48] for n>51