A240271 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.

2, 4, 3, 10, 7, 4, 24, 35, 14, 7, 56, 157, 118, 36, 10, 132, 713, 919, 582, 72, 15, 312, 3263, 7562, 8265, 2000, 170, 24, 736, 14895, 64721, 126286, 49921, 8353, 411, 35, 1736, 68101, 563496, 2059061, 1363144, 382690, 37422, 879, 54, 4096, 311509, 4956889

Offset: 1

Author

R. H. Hardin, Apr 03 2014

Keywords

• nonn
• tabl

Comments

Table starts

..2....4......10.........24..........56..........132...........312

..3....7......35........157.........713.........3263.........14895

..4...14.....118........919........7562........64721........563496

..7...36.....582.......8265......126286......2059061......34514871

.10...72....2000......49921.....1363144.....40760821....1277623744

.15..170....8353.....382690....19210586...1063706501...63085436203

.24..411...37422....3076452...278945445..27923918285.3004792552569

.35..879..135463...19781372..3200032085.576407548906

.54.2106..580528..154994425.46095401280

.83.4874.2403439.1144262410

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..97

Crossrefs

Column 1 is A159288(n+1)

Row 1 is A052912

Formula

Empirical for column k:

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

k=2: [order 13]

Empirical for row n:

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

n=2: [order 26] for n>28