A240153 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 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, 3, 4, 5, 4, 7, 8, 11, 7, 10, 19, 20, 25, 10, 15, 36, 107, 67, 62, 15, 24, 57, 186, 676, 254, 144, 24, 35, 120, 450, 1328, 3993, 825, 329, 35, 54, 218, 1641, 5701, 11742, 22412, 2667, 775, 54, 83, 377, 2788, 24419, 88214, 108201, 131005, 8652, 1781, 83, 124, 758

Offset: 1

Author

R. H. Hardin, Apr 02 2014

Keywords

• nonn
• tabl

Comments

Table starts

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

..3....5.....8.......19.........36..........57.........120........218

..4...11....20......107........186.........450........1641.......2788

..7...25....67......676.......1328........5701.......24419......52676

.10...62...254.....3993......11742.......88214......536744....1652584

.15..144...825....22412.....108201.....1608415....12812998...70360014

.24..329..2667...131005....1056699....30542203...417799464.3795213209

.35..775..8652...731518...10526838...584983851.14482686630

.54.1781.27929..4144347..107361960.11643589675

.83.4150.91436.23263202.1116331018

Examples

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

Links

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

Crossrefs

Row and column 1 are 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>36

Empirical for row n:

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

n=2: [order 17] for n>19