A241397 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 zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.

2, 2, 3, 4, 5, 4, 6, 9, 13, 7, 8, 23, 29, 28, 10, 14, 44, 85, 97, 64, 15, 20, 93, 201, 480, 340, 142, 24, 30, 204, 689, 1657, 2780, 1156, 318, 35, 48, 368, 1929, 8697, 15339, 17211, 4068, 726, 54, 70, 761, 4068, 31654, 129985, 160947, 102782, 14763, 1634, 83, 108

Offset: 1

Author

R. H. Hardin, Apr 20 2014

Keywords

• nonn
• tabl

Comments

Table starts

..2....2......4........6..........8..........14..........20.........30

..3....5......9.......23.........44..........93.........204........368

..4...13.....29.......85........201.........689........1929.......4068

..7...28.....97......480.......1657........8697.......31654......92204

.10...64....340.....2780......15339......129985......667050....2949778

.15..142...1156....17211.....160947.....2234804....18589398..134190457

.24..318...4068...102782....1622867....39781828...541660724.7518340973

.35..726..14763...645484...18627122...821631365.21331876978

.54.1634..52950..3936420..196990531.16108803423

.83.3695.190950.24633252.2356216195

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..112

Crossrefs

Column 1 is A159288(n+1)

Row 1 is A239851

Formula

Empirical for column k:

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

k=2: [order 38]

Empirical for row n:

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

n=2: [order 22] for n>23