A241435 T(n,k)=Number of nXk 0..3 arrays with no element equal to one 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, 3, 3, 4, 5, 4, 7, 10, 2, 7, 10, 21, 22, 3, 10, 15, 45, 74, 97, 5, 15, 24, 88, 158, 515, 213, 6, 24, 35, 181, 448, 1563, 1527, 381, 9, 35, 54, 378, 1272, 5915, 7495, 5304, 1005, 10, 54, 83, 710, 3284, 22712, 45139, 37148, 20690, 1900, 15, 83, 124, 1460, 8331, 76145

Offset: 1

Author

R. H. Hardin, Apr 22 2014

Keywords

• nonn
• tabl

Comments

Table starts

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

..3..5....10.....21.......45.........88.........181.........378.........710

..4..2....22.....74......158........448........1272........3284........8331

..7..3....97....515.....1563.......5915.......22712.......76145......270960

.10..5...213...1527.....7495......45139......282527.....1304136.....6927135

.15..6...381...5304....37148.....377314.....4122537....29425635...269064197

.24..9..1005..20690...218885....4136727....79901137..1058201862.16609740868

.35.10..1900..61348..1059975...34541924..1231102996.34796682706

.54.15..4137.257119..7257895..418453966.26880310825

.83.21.10518.920918.44141371.4088141292

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..126

Crossrefs

Column and row 1 are A159288(n+1)

Formula

Empirical for column k:

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

k=2: [order 11] for n>13

Empirical for row n:

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

n=2: [order 22] for n>24