A239819 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, modulo 4.

2, 4, 5, 10, 23, 11, 24, 132, 113, 25, 56, 729, 1480, 582, 57, 132, 3951, 18728, 17552, 2981, 129, 312, 21602, 232272, 510748, 204779, 15266, 293, 736, 118253, 2912793, 14544801, 13597573, 2405330, 78188, 665, 1736, 646306, 36627126, 418324402

Offset: 1

Author

R. H. Hardin, Mar 27 2014

Keywords

• nonn
• tabl

Comments

Table starts

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

....5......23........132...........729..............3951................21602

...11.....113.......1480.........18728............232272..............2912793

...25.....582......17552........510748..........14544801............418324402

...57....2981.....204779......13597573.........884977259..........58232200212

..129...15266....2405330.....366379173.......54668820459........8243207656791

..293...78188...28156167....9807771898.....3347474694032.....1154988223050638

..665..400542..330152684..263419973152...205970817822022...162794110794893005

.1509.2051667.3868656623.7064275271994.12641836066488239.22871029907841066549

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..180

Crossrefs

Row 1 is A052912

Formula

Empirical for column k:

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

k=2: [order 10]

k=3: [order 35]

Empirical for row n:

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

n=2: [order 16]

n=3: [order 64]