A240406 T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or three plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

1, 2, 2, 3, 5, 3, 4, 14, 14, 4, 7, 24, 77, 24, 7, 10, 77, 235, 235, 77, 10, 15, 182, 1381, 1304, 1381, 182, 15, 24, 397, 5566, 13648, 13648, 5566, 397, 24, 35, 1164, 21413, 98837, 257243, 98837, 21413, 1164, 35, 54, 2626, 114951, 692520, 3366314, 3366314, 692520

Offset: 1

Author

R. H. Hardin, Apr 04 2014

Keywords

• nonn
• tabl

Comments

Table starts

..1....2.......3.........4............7............10............15

..2....5......14........24...........77...........182...........397

..3...14......77.......235.........1381..........5566.........21413

..4...24.....235......1304........13648.........98837........692520

..7...77....1381.....13648.......257243.......3366314......43820839

.10..182....5566.....98837......3366314......80283637....1935005419

.15..397...21413....692520.....43820839....1935005419...85908009949

.24.1164..114951...6686074....766539340...62076655091.5128168982319

.35.2626..447479..47001423...9754760605.1450984782112

.54.6439.1942846.368795251.139442821024

Examples

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

Links

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

Crossrefs

Column 1 is A159288

Formula

Empirical for column k:

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

k=2: [order 15]