A240376 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, modulo 4.

2, 3, 3, 4, 11, 4, 7, 21, 21, 7, 10, 67, 75, 67, 10, 15, 155, 450, 450, 155, 15, 24, 353, 1729, 5161, 1729, 353, 24, 35, 998, 7233, 36398, 36398, 7233, 998, 35, 54, 2256, 36148, 271764, 486179, 271764, 36148, 2256, 54, 83, 5639, 139855, 2492182, 6436979

Offset: 1

Author

R. H. Hardin, Apr 04 2014

Keywords

• nonn
• tabl

Comments

Table starts

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

..3....11......21.........67..........155...........353............998

..4....21......75........450.........1729..........7233..........36148

..7....67.....450.......5161........36398........271764........2492182

.10...155....1729......36398.......486179.......6436979......110122847

.15...353....7233.....271764......6436979.....169838571.....5145071133

.24...998...36148....2492182....110122847....5145071133...296413962369

.35..2256..139855...17380978...1403151574..121626491919.12947745036751

.54..5639..645733..143489019..20729739995.3384817934297

.83.14624.2919837.1182292032.314460587672

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..111

Crossrefs

Column 1 is A159288(n+1)

Formula

Empirical for column k:

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

k=2: [order 15] for n>17